382528 has 28 divisors (see below), whose sum is σ = 782320. Its totient is φ = 185472.

The previous prime is 382519. The next prime is 382541. The reversal of 382528 is 825283.

382528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 382496 and 382505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2683 + ... + 2821.

It is an arithmetic number, because the mean of its divisors is an integer number (27940).

2³⁸²⁵²⁸ 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 382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391160).

382528 is an abundant number, since it is smaller than the sum of its proper divisors (399792).

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

382528 is a wasteful number, since it uses less digits than its factorization.

382528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 382528 is about 618.4884800867. The cubic root of 382528 is about 72.5918297337.

The spelling of 382528 in words is "three hundred eighty-two thousand, five hundred twenty-eight".