22 × 7 × 29 × 59
1, 2, 4, 7, 14, 28, 29, 58, 59, 116, 118, 203, 236, 406, 413, 812, 826, 1652, 1711, 3422, 6844, 11977, 23954 and 47908
No.
Its nearest Fibonacci number neighbors are 46368 and 75025.