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28686064032 = 253370147363
BaseRepresentation
bin11010101101110100…
…101001100110100000
32202001011220001002000
4122231310221212200
5432222113022112
621102253524000
72033603343513
oct325564514640
982034801060
1028686064032
111119059853a
125686aa3600
1329220babb2
141561b3ad7a
15b2d5d47dc
hex6add299a0

28686064032 has 96 divisors (see below), whose sum is σ = 83788810560. Its totient is φ = 9548179200.

The previous prime is 28686064031. The next prime is 28686064051. The reversal of 28686064032 is 23046068682.

28686064032 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 606 + 4 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28686064031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581983 + ... + 629345.

It is an arithmetic number, because the mean of its divisors is an integer number (872800110).

Almost surely, 228686064032 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 28686064032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41894405280).

28686064032 is an abundant number, since it is smaller than the sum of its proper divisors (55102746528).

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

28686064032 is a wasteful number, since it uses less digits than its factorization.

28686064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48083 (or 48069 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28686064032 in words is "twenty-eight billion, six hundred eighty-six million, sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 701 864 1402 2103 2804 4206 5608 6309 8412 11216 12618 16824 18927 22432 25236 33648 37854 47363 50472 67296 75708 94726 100944 142089 151416 189452 201888 284178 302832 378904 426267 568356 605664 757808 852534 1136712 1278801 1515616 1705068 2273424 2557602 3410136 4546848 5115204 6820272 10230408 13640544 20460816 33201463 40921632 66402926 99604389 132805852 199208778 265611704 298813167 398417556 531223408 597626334 796835112 896439501 1062446816 1195252668 1593670224 1792879002 2390505336 3187340448 3585758004 4781010672 7171516008 9562021344 14343032016 28686064032