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28437940674 = 233111329312569
BaseRepresentation
bin11010011111000010…
…001000100111000010
32201101220000001211000
4122133002020213002
5431220103100144
621021511432430
72024501336013
oct323702104702
981356001730
1028437940674
1111073526810
125617985716
1328b2884740
14153abcd00a
15b16921769
hex69f0889c2

28437940674 has 128 divisors (see below), whose sum is σ = 74502892800. Its totient is φ = 7926888960.

The previous prime is 28437940637. The next prime is 28437940691. The reversal of 28437940674 is 47604973482.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28437940674.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2256262 + ... + 2268830.

It is an arithmetic number, because the mean of its divisors is an integer number (582053850).

Almost surely, 228437940674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28437940674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37251446400).

28437940674 is an abundant number, since it is smaller than the sum of its proper divisors (46064952126).

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

28437940674 is a wasteful number, since it uses less digits than its factorization.

28437940674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 28437940674 in words is "twenty-eight billion, four hundred thirty-seven million, nine hundred forty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 293 297 351 429 586 594 702 858 879 1287 1758 2574 2637 3223 3809 3861 5274 6446 7618 7722 7911 9669 11427 12569 15822 19338 22854 25138 29007 34281 37707 41899 58014 68562 75414 83798 87021 102843 113121 125697 138259 163397 174042 205686 226242 251394 276518 326794 339363 377091 414777 490191 678726 754182 829554 980382 1131273 1244331 1470573 1797367 2262546 2488662 2941146 3594734 3682717 3732993 4411719 5392101 7365434 7465986 8823438 10784202 11048151 16176303 22096302 32352606 33144453 40509887 47875321 48528909 66288906 81019774 95750642 97057818 99433359 121529661 143625963 198866718 243059322 287251926 364588983 430877889 526628531 729177966 861755778 1053257062 1093766949 1292633667 1579885593 2187533898 2585267334 3159771186 4739656779 9479313558 14218970337 28437940674