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28424711688 = 233172917913421
BaseRepresentation
bin11010011110001111…
…101010111000001000
32201100222002222001120
4122132033222320020
5431203211233223
621020320115240
72024251030362
oct323617527010
981328088046
1028424711688
111106701066a
125613465b20
1328acc02239
141539147d32
15b156abbe3
hex69e3eae08

28424711688 has 128 divisors (see below), whose sum is σ = 78277104000. Its totient is φ = 8561315840.

The previous prime is 28424711669. The next prime is 28424711699. The reversal of 28424711688 is 88611742482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 28424711688.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111218 + ... + 2124638.

It is an arithmetic number, because the mean of its divisors is an integer number (611539875).

Almost surely, 228424711688 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 28424711688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39138552000).

28424711688 is an abundant number, since it is smaller than the sum of its proper divisors (49852392312).

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

28424711688 is a wasteful number, since it uses less digits than its factorization.

28424711688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13655 (or 13651 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The spelling of 28424711688 in words is "twenty-eight billion, four hundred twenty-four million, seven hundred eleven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 179 204 232 348 358 408 493 537 696 716 986 1074 1432 1479 1972 2148 2958 3043 3944 4296 5191 5916 6086 9129 10382 11832 12172 13421 15573 18258 20764 24344 26842 31146 36516 40263 41528 53684 62292 73032 80526 88247 107368 124584 161052 176494 228157 264741 322104 352988 389209 456314 529482 684471 705976 778418 912628 1058964 1167627 1368942 1556836 1825256 2117928 2335254 2402359 2737884 3113672 4670508 4804718 5475768 6616553 7207077 9341016 9609436 13233106 14414154 19218872 19849659 26466212 28828308 39699318 40840103 52932424 57656616 69668411 79398636 81680206 122520309 139336822 158797272 163360412 209005233 245040618 278673644 326720824 418010466 490081236 557347288 836020932 980162472 1184362987 1672041864 2368725974 3553088961 4737451948 7106177922 9474903896 14212355844 28424711688