Burrough blocked Savannah State's Terel Hall with four seconds left and Abdullah made 1 of 2 free throws to cap the scoring with two seconds left.
James Whitaker made 1 of 2 free throws for NC A&T (6-17, 3-6 Mid-Eastern Athletic Conference) with 20 seconds left after Javaris Jenkins connected on a 3-pointer two seconds earlier to pull Savannah State (5-16, 1-6) within 60-59.
Jenkins also scored on a 3-pointer and three free throws in the previous two possessions, nearly erasing by himself the 58-50 lead NC A&T had with 55 seconds left.
NC A&T trailed most of the first half but took control with 10 straight points to open the second and stretched to a 51-41 lead.
Jenkins finished with 11 points for Savannah State.