9628806528 has 512 divisors, whose sum is σ = 33629644800. Its totient is φ = 2679275520.

The previous prime is 9628806497. The next prime is 9628806541. The reversal of 9628806528 is 8256088269.

9628806528 is a `hidden beast` number, since 9 + 628 + 8 + 0 + 6 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30374626 + ... + 30374942.

It is an arithmetic number, because the mean of its divisors is an integer number (65682900).

Almost surely, 2^9628806528 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 9628806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814822400).

9628806528 is an abundant number, since it is smaller than the sum of its proper divisors (24000838272).

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

9628806528 is a wasteful number, since it uses less digits than its factorization.

9628806528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 9628806528 is about 98126.4822970843. The cubic root of 9628806528 is about 2127.4408144989.

The spelling of 9628806528 in words is "nine billion, six hundred twenty-eight million, eight hundred six thousand, five hundred twenty-eight".