9228800 has 120 divisors (see below), whose sum is σ = 26385216. Its totient is φ = 3133440.

The previous prime is 9228787. The next prime is 9228811. The reversal of 9228800 is 88229.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89549 + ... + 89651.

Almost surely, 2^9228800 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 9228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13192608).

9228800 is an abundant number, since it is smaller than the sum of its proper divisors (17156416).

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

9228800 is a wasteful number, since it uses less digits than its factorization.

9228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 9228800 is about 3037.8940073676. The cubic root of 9228800 is about 209.7563311302.

The spelling of 9228800 in words is "nine million, two hundred twenty-eight thousand, eight hundred".