913228800 has 528 divisors, whose sum is σ = 3508918272. Its totient is φ = 207257600.

The previous prime is 913228781. The next prime is 913228801. The reversal of 913228800 is 8822319.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×913228800² = 1667973682298880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (913228801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19430377 + ... + 19430423.

Almost surely, 2^913228800 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 913228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754459136).

913228800 is an abundant number, since it is smaller than the sum of its proper divisors (2595689472).

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

913228800 is a wasteful number, since it uses less digits than its factorization.

913228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 913228800 is about 30219.6757097094. The cubic root of 913228800 is about 970.1968637171.

The spelling of 913228800 in words is "nine hundred thirteen million, two hundred twenty-eight thousand, eight hundred".