28 × 52
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200 and 6400
No.
Its nearest Fibonacci number neighbors are 4181 and 6765.