24 × 7 × 4259
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 4259, 8518, 17036, 29813, 34072, 59626, 68144, 119252, 238504 and 477008
No.
Its nearest Fibonacci number neighbors are 317811 and 514229.