382528396800 has 1200 divisors, whose sum is σ = 1636151810832. Its totient is φ = 87234969600.

The previous prime is 382528396751. The next prime is 382528396891. The reversal of 382528396800 is 8693825283.

382528396800 is a `hidden beast` number, since 3 + 8 + 2 + 528 + 39 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 193880614 + ... + 193882586.

Almost surely, 2^382528396800 is an apocalyptic number.

382528396800 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 382528396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818075905416).

382528396800 is an abundant number, since it is smaller than the sum of its proper divisors (1253623414032).

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

382528396800 is a wasteful number, since it uses less digits than its factorization.

382528396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 382528396800 in words is "three hundred eighty-two billion, five hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".