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28460472336 = 243425187491
BaseRepresentation
bin11010100000011000…
…000101100000010000
32201110110101210110000
4122200120011200100
5431241340103321
621024034410000
72025164011002
oct324030054020
981413353400
1028460472336
111108521611a
125623430900
1328b744329a
14153dbb6372
15b188c2826
hex6a0605810

28460472336 has 100 divisors (see below), whose sum is σ = 82701987984. Its totient is φ = 9448920000.

The previous prime is 28460472311. The next prime is 28460472349. The reversal of 28460472336 is 63327406482.

28460472336 is a `hidden beast` number, since 2 + 8 + 4 + 604 + 7 + 2 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28460472291 and 28460472300.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 281551 + ... + 369041.

Almost surely, 228460472336 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 28460472336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41350993992).

28460472336 is an abundant number, since it is smaller than the sum of its proper divisors (54241515648).

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

28460472336 is a wasteful number, since it uses less digits than its factorization.

28460472336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87762 (or 87747 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 28460472336 in words is "twenty-eight billion, four hundred sixty million, four hundred seventy-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 251 324 432 502 648 753 1004 1296 1506 2008 2259 3012 4016 4518 6024 6777 9036 12048 13554 18072 20331 27108 36144 40662 54216 81324 87491 108432 162648 174982 262473 325296 349964 524946 699928 787419 1049892 1399856 1574838 2099784 2362257 3149676 4199568 4724514 6299352 7086771 9449028 12598704 14173542 18898056 21960241 28347084 37796112 43920482 56694168 65880723 87840964 113388336 131761446 175681928 197642169 263522892 351363856 395284338 527045784 592926507 790568676 1054091568 1185853014 1581137352 1778779521 2371706028 3162274704 3557559042 4743412056 7115118084 9486824112 14230236168 28460472336