5228800 has 108 divisors (see below), whose sum is σ = 13940080. Its totient is φ = 1935360.

The previous prime is 5228789. The next prime is 5228813. The reversal of 5228800 is 88225.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121579 + ... + 121621.

Almost surely, 2^5228800 is an apocalyptic number.

5228800 is a gapful number since it is divisible by the number (50) 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 5228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970040).

5228800 is an abundant number, since it is smaller than the sum of its proper divisors (8711280).

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

5228800 is a wasteful number, since it uses less digits than its factorization.

5228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5228800 is about 2286.6569484730. The cubic root of 5228800 is about 173.5670745318.

The spelling of 5228800 in words is "five million, two hundred twenty-eight thousand, eight hundred".