382873312 has 48 divisors (see below), whose sum is σ = 804988800. Its totient is φ = 178859520.

The previous prime is 382873297. The next prime is 382873319. The reversal of 382873312 is 213378283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382873319) 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, 22114 + ... + 35422.

It is an arithmetic number, because the mean of its divisors is an integer number (16770600).

Almost surely, 2^382873312 is an apocalyptic number.

382873312 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 382873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402494400).

382873312 is an abundant number, since it is smaller than the sum of its proper divisors (422115488).

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

382873312 is a wasteful number, since it uses less digits than its factorization.

382873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13379 (or 13371 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 382873312 is about 19567.1487958772. The cubic root of 382873312 is about 726.1366629730.

The spelling of 382873312 in words is "three hundred eighty-two million, eight hundred seventy-three thousand, three hundred twelve".