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28172876328 = 2334973971129
BaseRepresentation
bin11010001111001110…
…111111101000101000
32200201102020101220000
4122033032333220220
5430144224020303
620535322303000
72015102332452
oct321716775050
980642211800
1028172876328
1110a47943a73
125563057a60
13286c99932c
1415139112d2
15aed513da3
hex68f3bfa28

28172876328 has 160 divisors (see below), whose sum is σ = 79995253800. Its totient is φ = 9262522368.

The previous prime is 28172876311. The next prime is 28172876339. The reversal of 28172876328 is 82367827182.

28172876328 is a `hidden beast` number, since 28 + 17 + 287 + 6 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19808310564 + 8364565764 = 140742^2 + 91458^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24953268 + ... + 24954396.

Almost surely, 228172876328 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 28172876328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997626900).

28172876328 is an abundant number, since it is smaller than the sum of its proper divisors (51822377472).

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

28172876328 is a wasteful number, since it uses less digits than its factorization.

28172876328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1628 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 28172876328 in words is "twenty-eight billion, one hundred seventy-two million, eight hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 397 582 648 776 794 873 1129 1164 1191 1588 1746 2258 2328 2382 2619 3176 3387 3492 3573 4516 4764 5238 6774 6984 7146 7857 9032 9528 10161 10476 10719 13548 14292 15714 20322 20952 21438 27096 28584 30483 31428 32157 38509 40644 42876 60966 62856 64314 77018 81288 85752 91449 109513 115527 121932 128628 154036 182898 219026 231054 243864 257256 308072 328539 346581 365796 438052 448213 462108 657078 693162 731592 876104 896426 924216 985617 1039743 1314156 1344639 1386324 1792852 1971234 2079486 2628312 2689278 2772648 2956851 3119229 3585704 3942468 4033917 4158972 5378556 5913702 6238458 7884936 8067834 8317944 8870553 10757112 11827404 12101751 12476916 16135668 17741106 23654808 24203502 24953832 32271336 35482212 36305253 43476661 48407004 70964424 72610506 86953322 96814008 130429983 145221012 173906644 260859966 290442024 347813288 391289949 521719932 782579898 1043439864 1173869847 1565159796 2347739694 3130319592 3521609541 4695479388 7043219082 9390958776 14086438164 28172876328