52928000 has 80 divisors (see below), whose sum is σ = 132138864. Its totient is φ = 21145600.

The previous prime is 52927999. The next prime is 52928009. The reversal of 52928000 is 82925.

52928000 = 116³ + 117³ + ... + 140³.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52928009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63587 + ... + 64413.

Almost surely, 2^52928000 is an apocalyptic number.

52928000 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 52928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66069432).

52928000 is an abundant number, since it is smaller than the sum of its proper divisors (79210864).

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

52928000 is an frugal number, since it uses more digits than its factorization.

52928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 52928000 is about 7275.1632284094. The cubic root of 52928000 is about 375.4584023807.

The spelling of 52928000 in words is "fifty-two million, nine hundred twenty-eight thousand".