53128800 has 216 divisors, whose sum is σ = 192550176. Its totient is φ = 13777920.

The previous prime is 53128793. The next prime is 53128849. The reversal of 53128800 is 882135.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338322 + ... + 338478.

It is an arithmetic number, because the mean of its divisors is an integer number (891436).

Almost surely, 2^53128800 is an apocalyptic number.

53128800 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 53128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275088).

53128800 is an abundant number, since it is smaller than the sum of its proper divisors (139421376).

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

53128800 is a wasteful number, since it uses less digits than its factorization.

53128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53128800 is about 7288.9505417447. The cubic root of 53128800 is about 375.9326120367.

The spelling of 53128800 in words is "fifty-three million, one hundred twenty-eight thousand, eight hundred".