10920628224 has 416 divisors, whose sum is σ = 36234362880. Its totient is φ = 3221913600.

The previous prime is 10920628211. The next prime is 10920628291. The reversal of 10920628224 is 42282602901.

10920628224 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 0 + 628 + 2 + 24 = 666.

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

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, 57175969 + ... + 57176159.

Almost surely, 2^10920628224 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 10920628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117181440).

10920628224 is an abundant number, since it is smaller than the sum of its proper divisors (25313734656).

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

10920628224 is a wasteful number, since it uses less digits than its factorization.

10920628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10920628224 in words is "ten billion, nine hundred twenty million, six hundred twenty-eight thousand, two hundred twenty-four".