23 × 5 × 7 × 157
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 157, 280, 314, 628, 785, 1099, 1256, 1570, 2198, 3140, 4396, 5495, 6280, 8792, 10990, 21980 and 43960
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.