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28008700164 = 2232278932
BaseRepresentation
bin11010000101011100…
…101101100100000100
32200021222022101112100
4122011130231210010
5424330211401124
620511135352100
72011040010654
oct320534554404
980258271470
1028008700164
11109731a9a95
125518082630
132844975a83
1414d9bb6364
15adddd41c9
hex68572d904

28008700164 has 27 divisors (see below), whose sum is σ = 70802308213. Its totient is φ = 9335898672.

The previous prime is 28008700151. The next prime is 28008700199. The reversal of 28008700164 is 46100780082.

The square root of 28008700164 is 167358.

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

It can be written as a sum of positive squares in only one way, i.e., 27992636100 + 16064064 = 167310^2 + 4008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 990202 + ... + 1018094.

Almost surely, 228008700164 is an apocalyptic number.

28008700164 is the 167358-th square number.

It is an amenable number.

28008700164 is an abundant number, since it is smaller than the sum of its proper divisors (42793608049).

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

28008700164 is an frugal number, since it uses more digits than its factorization.

28008700164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55796 (or 27898 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 28008700164 by its sum of digits (36), we get a square (1008313205904 = 10041482).

28008700164 divided by its sum of digits (36) gives a square (778019449 = 278932).

The spelling of 28008700164 in words is "twenty-eight billion, eight million, seven hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 27893 55786 83679 111572 167358 251037 334716 502074 1004148 778019449 1556038898 2334058347 3112077796 4668116694 7002175041 9336233388 14004350082 28008700164