52128400 has 75 divisors (see below), whose sum is σ = 132196121. Its totient is φ = 19753920.

The previous prime is 52128397. The next prime is 52128407. The reversal of 52128400 is 482125.

The square root of 52128400 is 7220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18766224 + 33362176 = 4332^2 + 5776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52128407) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2743591 + ... + 2743609.

Almost surely, 2^52128400 is an apocalyptic number.

52128400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52128400 is the 7220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52128400

52128400 is an abundant number, since it is smaller than the sum of its proper divisors (80067721).

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

52128400 is an frugal number, since it uses more digits than its factorization.

52128400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The cubic root of 52128400 is about 373.5580775468.

The spelling of 52128400 in words is "fifty-two million, one hundred twenty-eight thousand, four hundred".