8392381920 has 384 divisors, whose sum is σ = 32729961600. Its totient is φ = 1994194944.

The previous prime is 8392381901. The next prime is 8392381967. The reversal of 8392381920 is 291832938.

It is a super-2 number, since 2×8392381920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1626064 + ... + 1631216.

It is an arithmetic number, because the mean of its divisors is an integer number (85234275).

Almost surely, 2^8392381920 is an apocalyptic number.

8392381920 is a gapful number since it is divisible by the number (80) 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 8392381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16364980800).

8392381920 is an abundant number, since it is smaller than the sum of its proper divisors (24337579680).

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

8392381920 is a wasteful number, since it uses less digits than its factorization.

8392381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8392381920 is about 91609.9444383632. The cubic root of 8392381920 is about 2032.1780048456.

The spelling of 8392381920 in words is "eight billion, three hundred ninety-two million, three hundred eighty-one thousand, nine hundred twenty".