382528200 has 96 divisors (see below), whose sum is σ = 1217957760. Its totient is φ = 99244800.

The previous prime is 382528199. The next prime is 382528217. The reversal of 382528200 is 2825283.

382528200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13585 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (12687060).

Almost surely, 2^382528200 is an apocalyptic number.

382528200 is a gapful number since it is divisible by the number (30) 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 382528200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608978880).

382528200 is an abundant number, since it is smaller than the sum of its proper divisors (835429560).

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

382528200 is a wasteful number, since it uses less digits than its factorization.

382528200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287 (or 17278 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 382528200 is about 19558.3281494099. The cubic root of 382528200 is about 725.9184238495.

The spelling of 382528200 in words is "three hundred eighty-two million, five hundred twenty-eight thousand, two hundred".