23 × 7 × 13 × 21817
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728, 21817, 43634, 87268, 152719, 174536, 283621, 305438, 567242, 610876, 1134484, 1221752, 1985347, 2268968, 3970694, 7941388 and 15882776
No.
Its nearest Fibonacci number neighbors are 14930352 and 24157817.