Total number of species among following, in which bond angle is equal to or less than `109^(@)28'` and also they act as lewis base :
`NH_(3), NMe_(3), O(SiH_(3))_(2), ICl_(4)^(-), XeO_(3), BF_(2)Cl, SiF_(4), AsH_(3), SO_(2)F_(2)`

Explanation

To solve the question, we need to analyze each species provided in the list to determine if they have a bond angle equal to or less than \(109^\circ 28'\) and if they act as a Lewis base.

### Step-by-Step Solution:

1. **Identify the Species**: The species given are:
- \(NH_3\)
- \(NMe_3\)
- \(O(SiH_3)_2\)
- \(ICl_4^-\)
- \(XeO_3\)
- \(BF_2Cl\)
- \(SiF_4\)
- \(AsH_3\)
- \(SO_2F_2\)

2. **Analyze Each Species**:
- **\(NH_3\)**:
- Bond angle: Approximately \(107^\circ\) (due to lone pair repulsion).
- Acts as a Lewis base: Yes.

- **\(NMe_3\)** (Trimethylamine):
- Bond angle: Less than \(107^\circ\) (due to steric hindrance from methyl groups).
- Acts as a Lewis base: Yes.

- **\(O(SiH_3)_2\)**:
- Bond angle: Less than \(109^\circ\) (due to lone pairs on oxygen).
- Acts as a Lewis base: Yes.

- **\(ICl_4^-\)**:
- Bond angle: \(90^\circ\) (square planar structure).
- Acts as a Lewis base: Yes.

- **\(XeO_3\)**:
- Bond angle: Approximately \(120^\circ\) (trigonal pyramidal).
- Acts as a Lewis base: Yes.

- **\(BF_2Cl\)**:
- Bond angle: Approximately \(120^\circ\) (trigonal planar).
- Acts as a Lewis base: No.

- **\(SiF_4\)**:
- Bond angle: \(109.5^\circ\) (tetrahedral).
- Acts as a Lewis base: No.

- **\(AsH_3\)**:
- Bond angle: Approximately \(92^\circ\) (due to lone pair).
- Acts as a Lewis base: Yes.

- **\(SO_2F_2\)**:
- Bond angle: Approximately \(120^\circ\) (bent structure).
- Acts as a Lewis base: No.

3. **Count the Species**:
- The species that have a bond angle equal to or less than \(109^\circ 28'\) and act as Lewis bases are:
- \(NH_3\)
- \(NMe_3\)
- \(O(SiH_3)_2\)
- \(ICl_4^-\)
- \(AsH_3\)

This gives us a total of **5 species**.

### Final Answer:
The total number of species among the given options, in which the bond angle is equal to or less than \(109^\circ 28'\) and also act as Lewis bases is **5**.