52888400 has 60 divisors (see below), whose sum is σ = 133771200. Its totient is φ = 20039040.

The previous prime is 52888391. The next prime is 52888417. The reversal of 52888400 is 488825.

It is a super-3 number, since 3×52888400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 4121 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (2229520).

Almost surely, 2^52888400 is an apocalyptic number.

52888400 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 52888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66885600).

52888400 is an abundant number, since it is smaller than the sum of its proper divisors (80882800).

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

52888400 is a wasteful number, since it uses less digits than its factorization.

52888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6996 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 52888400 is about 7272.4411307346. The cubic root of 52888400 is about 375.3647414178.

The spelling of 52888400 in words is "fifty-two million, eight hundred eighty-eight thousand, four hundred".