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28384228432 = 2472173168699
BaseRepresentation
bin11010011011110101…
…001111010001010000
32201021010221012110201
4122123311033101100
5431112330302212
621012312304544
72023246650400
oct323365172120
981233835421
1028384228432
111104617aa2a
1256019a2154
1328a46c9751
141533a0a800
15b11d61b57
hex69bd4f450

28384228432 has 120 divisors (see below), whose sum is σ = 69922310400. Its totient is φ = 11079613440.

The previous prime is 28384228361. The next prime is 28384228469. The reversal of 28384228432 is 23482248382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378819 + ... + 447517.

It is an arithmetic number, because the mean of its divisors is an integer number (582685920).

Almost surely, 228384228432 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 28384228432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961155200).

28384228432 is an abundant number, since it is smaller than the sum of its proper divisors (41538081968).

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

28384228432 is a wasteful number, since it uses less digits than its factorization.

28384228432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68769 (or 68756 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The spelling of 28384228432 in words is "twenty-eight billion, three hundred eighty-four million, two hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 49 56 62 68 98 112 119 124 136 196 217 238 248 272 392 434 476 496 527 784 833 868 952 1054 1519 1666 1736 1904 2108 3038 3332 3472 3689 4216 6076 6664 7378 8432 12152 13328 14756 24304 25823 29512 51646 59024 68699 103292 137398 206584 274796 413168 480893 549592 961786 1099184 1167883 1923572 2129669 2335766 3366251 3847144 4259338 4671532 6732502 7694288 8175181 8518676 9343064 13465004 14907683 16350362 17037352 18686128 26930008 29815366 32700724 34074704 36204373 53860016 57226267 59630732 65401448 72408746 104353781 114452534 119261464 130802896 144817492 208707562 228905068 238522928 253430611 289634984 417415124 457810136 506861222 579269968 834830248 915620272 1013722444 1669660496 1774014277 2027444888 3548028554 4054889776 7096057108 14192114216 28384228432