382010732928 has 320 divisors, whose sum is σ = 1313168559120. Its totient is φ = 108950814720.

The previous prime is 382010732927. The next prime is 382010732993. The reversal of 382010732928 is 829237010283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382010732927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1840300 + ... + 2037332.

Almost surely, 2^382010732928 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 382010732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656584279560).

382010732928 is an abundant number, since it is smaller than the sum of its proper divisors (931157826192).

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

382010732928 is a wasteful number, since it uses less digits than its factorization.

382010732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197087 (or 197066 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 382010732928 in words is "three hundred eighty-two billion, ten million, seven hundred thirty-two thousand, nine hundred twenty-eight".