52428000 has 192 divisors, whose sum is σ = 182564928. Its totient is φ = 13107200.

The previous prime is 52427993. The next prime is 52428007. The reversal of 52428000 is 82425.

It is an interprime number because it is at equal distance from previous prime (52427993) and next prime (52428007).

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 (52428007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203872 + ... + 204128.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 2^52428000 is an apocalyptic number.

52428000 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 52428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91282464).

52428000 is an abundant number, since it is smaller than the sum of its proper divisors (130136928).

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

52428000 is a wasteful number, since it uses less digits than its factorization.

52428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 52428000 is about 7240.7181964222. The cubic root of 52428000 is about 374.2723668242.

The spelling of 52428000 in words is "fifty-two million, four hundred twenty-eight thousand".