382283928 has 128 divisors (see below), whose sum is σ = 1155000000. Its totient is φ = 116453376.

The previous prime is 382283927. The next prime is 382283939. The reversal of 382283928 is 829382283.

382283928 is a `hidden beast` number, since 38 + 228 + 392 + 8 = 666.

It is a super-2 number, since 2×382283928² = 292282003214218368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382283927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305448 + ... + 306696.

Almost surely, 2^382283928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382283928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577500000).

382283928 is an abundant number, since it is smaller than the sum of its proper divisors (772716072).

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

382283928 is a wasteful number, since it uses less digits than its factorization.

382283928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1376 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 382283928 is about 19552.0824466347. The cubic root of 382283928 is about 725.7638737598.

The spelling of 382283928 in words is "three hundred eighty-two million, two hundred eighty-three thousand, nine hundred twenty-eight".