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28201225032 = 23387332
BaseRepresentation
bin11010010000111011…
…001000101101001000
32200210101120200000000
4122100323020231020
5430224003200112
620542214043000
72015565312651
oct322073105510
980711520000
1028201225032
1110a61946852
125570649460
132875813806
1415175b0528
15b00c637dc
hex690ec8b48

28201225032 has 108 divisors (see below), whose sum is σ = 79420265145. Its totient is φ = 9387583776.

The previous prime is 28201224983. The next prime is 28201225043. The reversal of 28201225032 is 23052210282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 18210422916 + 9990802116 = 134946^2 + 99954^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=118746.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28201224987 and 28201225005.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38473338 + ... + 38474070.

Almost surely, 228201225032 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 28201225032

28201225032 is an abundant number, since it is smaller than the sum of its proper divisors (51219040113).

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

28201225032 is an frugal number, since it uses more digits than its factorization.

28201225032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 28201225032 in words is "twenty-eight billion, two hundred one million, two hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 733 972 1458 1466 1944 2187 2199 2916 2932 4374 4398 5832 5864 6561 6597 8748 8796 13122 13194 17496 17592 19791 26244 26388 39582 52488 52776 59373 79164 118746 158328 178119 237492 356238 474984 534357 537289 712476 1068714 1074578 1424952 1603071 1611867 2137428 2149156 3206142 3223734 4274856 4298312 4809213 4835601 6412284 6447468 9618426 9671202 12824568 12894936 14506803 19236852 19342404 29013606 38473704 38684808 43520409 58027212 87040818 116054424 130561227 174081636 261122454 348163272 391683681 522244908 783367362 1044489816 1175051043 1566734724 2350102086 3133469448 3525153129 4700204172 7050306258 9400408344 14100612516 28201225032