9328800 has 216 divisors, whose sum is σ = 34310304. Its totient is φ = 2196480.

The previous prime is 9328793. The next prime is 9328811. The reversal of 9328800 is 88239.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405589 + ... + 405611.

It is an arithmetic number, because the mean of its divisors is an integer number (158844).

Almost surely, 2^9328800 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 9328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

9328800 is an abundant number, since it is smaller than the sum of its proper divisors (24981504).

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

9328800 is a wasteful number, since it uses less digits than its factorization.

9328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9328800 is about 3054.3084323624. The cubic root of 9328800 is about 210.5112261114.

The spelling of 9328800 in words is "nine million, three hundred twenty-eight thousand, eight hundred".