382032 has 60 divisors (see below), whose sum is σ = 1225120. Its totient is φ = 108864.

The previous prime is 382021. The next prime is 382037. The reversal of 382032 is 230283.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 381996 and 382014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382037) by changing a digit.

382032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819 + ... + 1197.

2³⁸²⁰³² 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 382032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612560).

382032 is an abundant number, since it is smaller than the sum of its proper divisors (843088).

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

382032 is a wasteful number, since it uses less digits than its factorization.

382032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 382032 is about 618.0873724644. The cubic root of 382032 is about 72.5604410765.

The spelling of 382032 in words is "three hundred eighty-two thousand, thirty-two".