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28279373664 = 2532953191657
BaseRepresentation
bin11010010101100101…
…001111111101100000
32200222211122000202210
4122111211033331200
5430404004424124
620554045042120
72020534465353
oct322545177540
980884560683
1028279373664
1110aa1a72aa3
125592856340
132888a762c9
141523b1429a
15b07a4da29
hex69594ff60

28279373664 has 96 divisors (see below), whose sum is σ = 78242461920. Its totient is φ = 8929636352.

The previous prime is 28279373663. The next prime is 28279373669. The reversal of 28279373664 is 46637397282.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28279373663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51724 + ... + 243380.

It is an arithmetic number, because the mean of its divisors is an integer number (815025645).

Almost surely, 228279373664 is an apocalyptic number.

28279373664 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 28279373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39121230960).

28279373664 is an abundant number, since it is smaller than the sum of its proper divisors (49963088256).

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

28279373664 is a wasteful number, since it uses less digits than its factorization.

28279373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191752 (or 191744 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 57.

The spelling of 28279373664 in words is "twenty-eight billion, two hundred seventy-nine million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 87 96 106 116 159 174 212 232 318 348 424 464 636 696 848 928 1272 1392 1537 1696 2544 2784 3074 4611 5088 6148 9222 12296 18444 24592 36888 49184 73776 147552 191657 383314 574971 766628 1149942 1533256 2299884 3066512 4599768 5558053 6133024 9199536 10157821 11116106 16674159 18399072 20315642 22232212 30473463 33348318 40631284 44464424 60946926 66696636 81262568 88928848 121893852 133393272 162525136 177857696 243787704 266786544 294576809 325050272 487575408 533573088 589153618 883730427 975150816 1178307236 1767460854 2356614472 3534921708 4713228944 7069843416 9426457888 14139686832 28279373664