56329000 has 128 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 17798400.

The previous prime is 56328997. The next prime is 56329019. The reversal of 56329000 is 92365.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90691 + ... + 91309.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^56329000 is an apocalyptic number.

56329000 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 56329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

56329000 is an abundant number, since it is smaller than the sum of its proper divisors (106160600).

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

56329000 is a wasteful number, since it uses less digits than its factorization.

56329000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 56329000 is about 7505.2648187789. The cubic root of 56329000 is about 383.3340054599.

The spelling of 56329000 in words is "fifty-six million, three hundred twenty-nine thousand".