10382328000 has 336 divisors, whose sum is σ = 40518709920. Its totient is φ = 2516736000.

The previous prime is 10382327971. The next prime is 10382328007. The reversal of 10382328000 is 82328301.

10382328000 is a `hidden beast` number, since 1 + 0 + 382 + 3 + 280 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10382328007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 785446 + ... + 798554.

Almost surely, 2^10382328000 is an apocalyptic number.

10382328000 is a gapful number since it is divisible by the number (10) 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 10382328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259354960).

10382328000 is an abundant number, since it is smaller than the sum of its proper divisors (30136381920).

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

10382328000 is a wasteful number, since it uses less digits than its factorization.

10382328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10382328000 in words is "ten billion, three hundred eighty-two million, three hundred twenty-eight thousand".