52228800 has 420 divisors, whose sum is σ = 213416896. Its totient is φ = 12441600.

The previous prime is 52228751. The next prime is 52228819. The reversal of 52228800 is 882225.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684785 + ... + 1684815.

Almost surely, 2^52228800 is an apocalyptic number.

52228800 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 52228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106708448).

52228800 is an abundant number, since it is smaller than the sum of its proper divisors (161188096).

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

52228800 is a wasteful number, since it uses less digits than its factorization.

52228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 52228800 is about 7226.9495639585. The cubic root of 52228800 is about 373.7977497037.

The spelling of 52228800 in words is "fifty-two million, two hundred twenty-eight thousand, eight hundred".