52288800 has 72 divisors (see below), whose sum is σ = 170207856. Its totient is φ = 13943040.

The previous prime is 52288799. The next prime is 52288823. The reversal of 52288800 is 888225.

52288800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8494 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (2363998).

Almost surely, 2^52288800 is an apocalyptic number.

52288800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52288800 is an abundant number, since it is smaller than the sum of its proper divisors (117919056).

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

52288800 is a wasteful number, since it uses less digits than its factorization.

52288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21810 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 52288800 is about 7231.0995014590. The cubic root of 52288800 is about 373.9408334822.

It can be divided in two parts, 5228 and 8800, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 52288800 in words is "fifty-two million, two hundred eighty-eight thousand, eight hundred".