382888 has 32 divisors (see below), whose sum is σ = 828000. Its totient is φ = 164160.

The previous prime is 382883. The next prime is 382919. The reversal of 382888 is 888283.

It is not an unprimeable number, because it can be changed into a prime (382883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 1786.

It is an arithmetic number, because the mean of its divisors is an integer number (25875).

2³⁸²⁸⁸⁸ is an apocalyptic number.

382888 is a gapful number since it is divisible by the number (38) 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 382888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414000).

382888 is an abundant number, since it is smaller than the sum of its proper divisors (445112).

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

382888 is a wasteful number, since it uses less digits than its factorization.

382888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 382888 is about 618.7794437439. The cubic root of 382888 is about 72.6145948341.

It can be divided in two parts, 3828 and 88, that added together give a triangular number (3916 = T₈₈).

The spelling of 382888 in words is "three hundred eighty-two thousand, eight hundred eighty-eight".