52428400 has 30 divisors (see below), whose sum is σ = 125960192. Its totient is φ = 20971200.

The previous prime is 52428379. The next prime is 52428401. The reversal of 52428400 is 482425.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52428401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65136 + ... + 65935.

Almost surely, 2^52428400 is an apocalyptic number.

52428400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52428400 is an abundant number, since it is smaller than the sum of its proper divisors (73531792).

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

52428400 is a wasteful number, since it uses less digits than its factorization.

52428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131089 (or 131078 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 52428400 is about 7240.7458179389. The cubic root of 52428400 is about 374.2733186601.

The spelling of 52428400 in words is "fifty-two million, four hundred twenty-eight thousand, four hundred".