10613642928 has 160 divisors (see below), whose sum is σ = 33093881856. Its totient is φ = 2865502464.

The previous prime is 10613642909. The next prime is 10613642933. The reversal of 10613642928 is 82924631601.

It is a super-2 number, since 2×10613642928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 10613642928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633151 + ... + 649697.

Almost surely, 2^10613642928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613642928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546940928).

10613642928 is an abundant number, since it is smaller than the sum of its proper divisors (22480238928).

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

10613642928 is a wasteful number, since it uses less digits than its factorization.

10613642928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16671 (or 16665 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10613642928 in words is "ten billion, six hundred thirteen million, six hundred forty-two thousand, nine hundred twenty-eight".