27 × 3 × 569
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 569, 1138, 1707, 2276, 3414, 4552, 6828, 9104, 13656, 18208, 27312, 36416, 54624, 72832, 109248 and 218496
No.
Its nearest Fibonacci number neighbors are 196418 and 317811.