9332928000 has 640 divisors, whose sum is σ = 37688302080. Its totient is φ = 2257920000.

The previous prime is 9332927941. The next prime is 9332928023. The reversal of 9332928000 is 8292339.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007755 + ... + 19008245.

It is an arithmetic number, because the mean of its divisors is an integer number (58887972).

Almost surely, 2^9332928000 is an apocalyptic number.

9332928000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9332928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844151040).

9332928000 is an abundant number, since it is smaller than the sum of its proper divisors (28355374080).

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

9332928000 is a wasteful number, since it uses less digits than its factorization.

9332928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9332928000 is about 96607.0804858526. The cubic root of 9332928000 is about 2105.4227198360.

The spelling of 9332928000 in words is "nine billion, three hundred thirty-two million, nine hundred twenty-eight thousand".