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28621296 = 24331119317
BaseRepresentation
bin110110100101…
…1100111110000
31222212010001000
41231023213300
524311340141
62501242000
7465164004
oct155134760
958763030
1028621296
1115179670
129703300
135c115a2
143b30704
1527a55b6
hex1b4b9f0

28621296 has 160 divisors (see below), whose sum is σ = 94636800. Its totient is φ = 8190720.

The previous prime is 28621283. The next prime is 28621297. The reversal of 28621296 is 69212682.

It is a happy number.

28621296 is a `hidden beast` number, since 2 + 8 + 621 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28621296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28621297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90130 + ... + 90446.

It is an arithmetic number, because the mean of its divisors is an integer number (591480).

Almost surely, 228621296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28621296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47318400).

28621296 is an abundant number, since it is smaller than the sum of its proper divisors (66015504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28621296 is a wasteful number, since it uses less digits than its factorization.

28621296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 28621296 is about 5349.8874754522. The cubic root of 28621296 is about 305.8884637716. Note that the first 3 decimals are identical.

The spelling of 28621296 in words is "twenty-eight million, six hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 317 342 396 418 432 456 513 528 594 627 634 684 792 836 912 951 1026 1188 1254 1268 1368 1584 1672 1881 1902 2052 2376 2508 2536 2736 2853 3344 3487 3762 3804 4104 4752 5016 5072 5643 5706 6023 6974 7524 7608 8208 8559 10032 10461 11286 11412 12046 13948 15048 15216 17118 18069 20922 22572 22824 24092 27896 30096 31383 34236 36138 41844 45144 45648 48184 54207 55792 62766 66253 68472 72276 83688 90288 94149 96368 108414 125532 132506 136944 144552 162621 167376 188298 198759 216828 251064 265012 289104 325242 376596 397518 433656 502128 530024 596277 650484 753192 795036 867312 1060048 1192554 1300968 1506384 1590072 1788831 2385108 2601936 3180144 3577662 4770216 7155324 9540432 14310648 28621296