52832000 has 144 divisors (see below), whose sum is σ = 142851072. Its totient is φ = 19353600.

The previous prime is 52831991. The next prime is 52832047. The reversal of 52832000 is 23825.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415937 + ... + 416063.

Almost surely, 2^52832000 is an apocalyptic number.

52832000 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 52832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71425536).

52832000 is an abundant number, since it is smaller than the sum of its proper divisors (90019072).

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

52832000 is a wasteful number, since it uses less digits than its factorization.

52832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 52832000 is about 7268.5624438399. The cubic root of 52832000 is about 375.2312647557.

Adding to 52832000 its reverse (23825), we get a palindrome (52855825).

The spelling of 52832000 in words is "fifty-two million, eight hundred thirty-two thousand".