382720832 has 56 divisors (see below), whose sum is σ = 831399912. Its totient is φ = 173721600.

The previous prime is 382720831. The next prime is 382720843. The reversal of 382720832 is 238027283.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 343583296 = 6256^2 + 18536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 382720792 and 382720801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382720831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46982 + ... + 54522.

It is an arithmetic number, because the mean of its divisors is an integer number (14846427).

Almost surely, 2^382720832 is an apocalyptic number.

382720832 is a gapful number since it is divisible by the number (32) 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 382720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415699956).

382720832 is an abundant number, since it is smaller than the sum of its proper divisors (448679080).

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

382720832 is a wasteful number, since it uses less digits than its factorization.

382720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 382720832 is about 19563.2520813897. The cubic root of 382720832 is about 726.0402550869.

The spelling of 382720832 in words is "three hundred eighty-two million, seven hundred twenty thousand, eight hundred thirty-two".