52838400 has 180 divisors, whose sum is σ = 178776752. Its totient is φ = 13762560.

The previous prime is 52838371. The next prime is 52838407. The reversal of 52838400 is 483825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (52838407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1228779 + ... + 1228821.

Almost surely, 2^52838400 is an apocalyptic number.

52838400 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 52838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89388376).

52838400 is an abundant number, since it is smaller than the sum of its proper divisors (125938352).

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

52838400 is an equidigital number, since it uses as much as digits as its factorization.

52838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 52838400 is about 7269.0026826244. The cubic root of 52838400 is about 375.2464158203.

The spelling of 52838400 in words is "fifty-two million, eight hundred thirty-eight thousand, four hundred".