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28714338504 = 23323121316037
BaseRepresentation
bin11010101111100000…
…100000100011001000
32202010011002112100200
4122233200200203020
5432301332313004
621105143532200
72034365564415
oct325740404310
982104075320
1028714338504
11111a554a575
12569445a060
132927c0a657
1415657bb10c
15b30d1c239
hex6af8208c8

28714338504 has 96 divisors (see below), whose sum is σ = 80327619840. Its totient is φ = 9256809600.

The previous prime is 28714338493. The next prime is 28714338551. The reversal of 28714338504 is 40583341782.

28714338504 is a `hidden beast` number, since 2 + 8 + 71 + 43 + 38 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28714338504.

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, 4753374 + ... + 4759410.

It is an arithmetic number, because the mean of its divisors is an integer number (836746040).

Almost surely, 228714338504 is an apocalyptic number.

28714338504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28714338504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40163809920).

28714338504 is an abundant number, since it is smaller than the sum of its proper divisors (51613281336).

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

28714338504 is a wasteful number, since it uses less digits than its factorization.

28714338504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8211 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28714338504 in words is "twenty-eight billion, seven hundred fourteen million, three hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2131 2232 4262 6037 6393 8524 12074 12786 17048 18111 19179 24148 25572 36222 38358 48296 51144 54333 66061 72444 76716 108666 132122 144888 153432 187147 198183 217332 264244 374294 396366 434664 528488 561441 594549 748588 792732 1122882 1189098 1497176 1585464 1684323 2245764 2378196 3368646 4491528 4756392 6737292 12864847 13474584 25729694 38594541 51459388 77189082 102918776 115783623 154378164 231567246 308756328 398810257 463134492 797620514 926268984 1196430771 1595241028 2392861542 3190482056 3589292313 4785723084 7178584626 9571446168 14357169252 28714338504