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28135365696 = 26322922412
BaseRepresentation
bin11010001100111111…
…111001110001000000
32200121210122122222100
4122030333321301000
5430110123200241
620531502310400
72014135443144
oct321477716100
980553578870
1028135365696
1110a28753749
125552588400
132864c948a9
14150c949224
15aea0a49b6
hex68cff9c40

28135365696 has 189 divisors, whose sum is σ = 83869698783. Its totient is φ = 9017487360.

The previous prime is 28135365691. The next prime is 28135365697. The reversal of 28135365696 is 69656353182.

It is a happy number.

The square root of 28135365696 is 167736.

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

28135365696 is a `hidden beast` number, since 2 + 8 + 13 + 536 + 5 + 6 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2278725696 + 25856640000 = 47736^2 + 160800^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28135365691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116744136 + ... + 116744376.

Almost surely, 228135365696 is an apocalyptic number.

28135365696 is the 167736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28135365696

28135365696 is an abundant number, since it is smaller than the sum of its proper divisors (55734333087).

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

28135365696 is an equidigital number, since it uses as much as digits as its factorization.

28135365696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 275 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 28135365696 in words is "twenty-eight billion, one hundred thirty-five million, three hundred sixty-five thousand, six hundred ninety-six".