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28338025248 = 2532137568917
BaseRepresentation
bin11010011001000100…
…111111001100100000
32201010220222211121200
4122121010333030200
5431014013301443
621003542121200
72022146145261
oct323104771440
981126884550
1028338025248
1111022092885
1255aa420200
132897c705a0
14152b820968
15b0cc86dd3
hex69913f320

28338025248 has 72 divisors (see below), whose sum is σ = 86785213788. Its totient is φ = 8719391232.

The previous prime is 28338025231. The next prime is 28338025259. The reversal of 28338025248 is 84252083382.

It is a happy number.

28338025248 is a `hidden beast` number, since 2 + 8 + 3 + 380 + 25 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28308735504 + 29289744 = 168252^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3780715 + ... + 3788202.

Almost surely, 228338025248 is an apocalyptic number.

It is an amenable number.

28338025248 is an abundant number, since it is smaller than the sum of its proper divisors (58447188540).

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

28338025248 is a wasteful number, since it uses less digits than its factorization.

28338025248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568946 (or 7568935 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28338025248 in words is "twenty-eight billion, three hundred thirty-eight million, twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 7568917 15137834 22706751 30275668 45413502 60551336 68120253 90827004 98395921 121102672 136240506 181654008 196791842 242205344 272481012 295187763 363308016 393583684 544962024 590375526 726616032 787167368 885563289 1089924048 1180751052 1574334736 1771126578 2179848096 2361502104 3148669472 3542253156 4723004208 7084506312 9446008416 14169012624 28338025248