382795392 has 128 divisors (see below), whose sum is σ = 1230560640. Its totient is φ = 102924288.

The previous prime is 382795373. The next prime is 382795397. The reversal of 382795392 is 293597283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (382795397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41508 + ... + 49884.

It is an arithmetic number, because the mean of its divisors is an integer number (9613755).

Almost surely, 2^382795392 is an apocalyptic number.

382795392 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 382795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615280320).

382795392 is an abundant number, since it is smaller than the sum of its proper divisors (847765248).

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

382795392 is a wasteful number, since it uses less digits than its factorization.

382795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8418 (or 8406 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 382795392 is about 19565.1576022275. The cubic root of 382795392 is about 726.0874000221.

It can be divided in two parts, 38 and 2795392, that added together give a triangular number (2795430 = T₂₃₆₄).

The spelling of 382795392 in words is "three hundred eighty-two million, seven hundred ninety-five thousand, three hundred ninety-two".