10936657728 has 84 divisors (see below), whose sum is σ = 32195259460. Its totient is φ = 3547017216.

The previous prime is 10936657703. The next prime is 10936657751. The reversal of 10936657728 is 82775663901.

10936657728 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 66 + 577 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3828144384 + 7108513344 = 61872^2 + 84312^2 .

It is a super-2 number, since 2×10936657728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235273 + ... + 277896.

Almost surely, 2^10936657728 is an apocalyptic number.

10936657728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10936657728 is an abundant number, since it is smaller than the sum of its proper divisors (21258601732).

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

10936657728 is a wasteful number, since it uses less digits than its factorization.

10936657728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513224 (or 513211 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 10936657728 in words is "ten billion, nine hundred thirty-six million, six hundred fifty-seven thousand, seven hundred twenty-eight".