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28640485225 = 521121721812
BaseRepresentation
bin11010101011000110…
…110001111101101001
32201221000010101201001
4122223012301331221
5432123431011400
621053544555001
72032511051632
oct325306617551
981830111631
1028640485225
1111167897500
125673782a61
13291581cca1
141559a74889
15b295cea6a
hex6ab1b1f69

28640485225 has 81 divisors (see below), whose sum is σ = 41697964623. Its totient is φ = 19495872000.

The previous prime is 28640485219. The next prime is 28640485229. The reversal of 28640485225 is 52258404682.

The square root of 28640485225 is 169235.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 26765941609 + 1874543616 = 163603^2 + 43296^2 .

It is a de Polignac number, because none of the positive numbers 2k-28640485225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28640485229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 158234635 + ... + 158234815.

Almost surely, 228640485225 is an apocalyptic number.

28640485225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28640485225 is the 169235-th square number.

28640485225 is the 84618-th centered octagonal number.

It is an amenable number.

28640485225 is a deficient number, since it is larger than the sum of its proper divisors (13057479398).

28640485225 is a wasteful number, since it uses less digits than its factorization.

28640485225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 28640485225 in words is "twenty-eight billion, six hundred forty million, four hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 121 181 187 275 289 425 605 905 935 1445 1991 2057 3025 3077 3179 4525 4675 7225 9955 10285 15385 15895 21901 32761 33847 34969 49775 51425 52309 76925 79475 109505 163805 169235 174845 261545 360371 372317 547525 556937 575399 819025 846175 874225 1307725 1801855 1861585 2784685 2876995 3964081 6126307 6329389 9009275 9307925 9467929 13923425 14384975 19820405 30631535 31646945 47339645 67389377 99102025 104147219 153157675 158234725 236698225 336946885 520736095 1145619409 1684734425 2603680475 5728097045 28640485225