53882800 has 30 divisors (see below), whose sum is σ = 129454388. Its totient is φ = 21552960.

The previous prime is 53882791. The next prime is 53882839. The reversal of 53882800 is 828835.

It is a happy number.

It is a super-2 number, since 2×53882800² = 5806712271680000, which contains 22 as substring.

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, 66954 + ... + 67753.

Almost surely, 2^53882800 is an apocalyptic number.

53882800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53882800 is an abundant number, since it is smaller than the sum of its proper divisors (75571588).

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

53882800 is a wasteful number, since it uses less digits than its factorization.

53882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134725 (or 134714 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 53882800 is about 7340.4904468298. The cubic root of 53882800 is about 377.7026673691.

It can be divided in two parts, 538 and 82800, that added together give a palindrome (83338).

The spelling of 53882800 in words is "fifty-three million, eight hundred eighty-two thousand, eight hundred".