5088800 has 36 divisors (see below), whose sum is σ = 12424986. Its totient is φ = 2035200.

The previous prime is 5088793. The next prime is 5088821. The reversal of 5088800 is 88805.

It can be written as a sum of positive squares in 3 ways, for example, as 3139984 + 1948816 = 1772^2 + 1396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2381 + ... + 3980.

Almost surely, 2^5088800 is an apocalyptic number.

5088800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5088800 is an abundant number, since it is smaller than the sum of its proper divisors (7336186).

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

5088800 is a wasteful number, since it uses less digits than its factorization.

5088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 5088800 is about 2255.8368735350. The cubic root of 5088800 is about 172.0039660164.

The spelling of 5088800 in words is "five million, eighty-eight thousand, eight hundred".