8382140928 has 640 divisors, whose sum is σ = 30798028800. Its totient is φ = 2197684224.

The previous prime is 8382140903. The next prime is 8382140929. The reversal of 8382140928 is 8290412838.

It is not an unprimeable number, because it can be changed into a prime (8382140929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86413776 + ... + 86413872.

It is an arithmetic number, because the mean of its divisors is an integer number (48121920).

Almost surely, 2^8382140928 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 8382140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399014400).

8382140928 is an abundant number, since it is smaller than the sum of its proper divisors (22415887872).

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

8382140928 is a wasteful number, since it uses less digits than its factorization.

8382140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8382140928 is about 91554.0328330762. The cubic root of 8382140928 is about 2031.3510648154.

The spelling of 8382140928 in words is "eight billion, three hundred eighty-two million, one hundred forty thousand, nine hundred twenty-eight".