930752928 has 288 divisors, whose sum is σ = 3192763392. Its totient is φ = 251596800.

The previous prime is 930752903. The next prime is 930752947. The reversal of 930752928 is 829257039.

930752928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312148 + ... + 3312428.

It is an arithmetic number, because the mean of its divisors is an integer number (11085984).

Almost surely, 2^930752928 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 930752928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596381696).

930752928 is an abundant number, since it is smaller than the sum of its proper divisors (2262010464).

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

930752928 is a wasteful number, since it uses less digits than its factorization.

930752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 930752928 is about 30508.2436072613. The cubic root of 930752928 is about 976.3633534684.

The spelling of 930752928 in words is "nine hundred thirty million, seven hundred fifty-two thousand, nine hundred twenty-eight".