382000528 has 160 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 142829568.

The previous prime is 382000517. The next prime is 382000547. The reversal of 382000528 is 825000283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 382000496 and 382000505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3504538 + ... + 3504646.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^382000528 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 382000528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

382000528 is an abundant number, since it is smaller than the sum of its proper divisors (580437872).

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

382000528 is a wasteful number, since it uses less digits than its factorization.

382000528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

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

The square root of 382000528 is about 19544.8337931025. The cubic root of 382000528 is about 725.5844849915.

The spelling of 382000528 in words is "three hundred eighty-two million, five hundred twenty-eight", and thus it is an aban number.