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28838964 = 22371123259
BaseRepresentation
bin110111000000…
…0110000110100
32000021011121210
41232000300310
524340321324
62510041420
7500061420
oct156006064
960234553
1028838964
1115308160
1297a9270
135c8969b
143b89b80
1527e9d29
hex1b80c34

28838964 has 144 divisors (see below), whose sum is σ = 89187840. Its totient is φ = 7043520.

The previous prime is 28838951. The next prime is 28838977. The reversal of 28838964 is 46983882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28838951) and next prime (28838977).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488767 + ... + 488825.

It is an arithmetic number, because the mean of its divisors is an integer number (619360).

Almost surely, 228838964 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 28838964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44593920).

28838964 is an abundant number, since it is smaller than the sum of its proper divisors (60348876).

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

28838964 is a wasteful number, since it uses less digits than its factorization.

28838964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 28838964 is about 5370.1921753323. The cubic root of 28838964 is about 306.6619443717.

The spelling of 28838964 in words is "twenty-eight million, eight hundred thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 59 66 69 77 84 92 118 132 138 154 161 177 231 236 253 276 308 322 354 413 462 483 506 529 644 649 708 759 826 924 966 1012 1058 1239 1298 1357 1518 1587 1652 1771 1932 1947 2116 2478 2596 2714 3036 3174 3542 3703 3894 4071 4543 4956 5313 5428 5819 6348 7084 7406 7788 8142 9086 9499 10626 11109 11638 13629 14812 14927 16284 17457 18172 18998 21252 22218 23276 27258 28497 29854 31211 34914 37996 40733 44436 44781 54516 56994 59708 62422 69828 81466 89562 93633 104489 113988 122199 124844 162932 179124 187266 208978 218477 244398 313467 343321 374532 417956 436954 488796 626934 655431 686642 873908 1029963 1253868 1310862 1373284 2059926 2403247 2621724 4119852 4806494 7209741 9612988 14419482 28838964