8392742928 has 120 divisors (see below), whose sum is σ = 24863810400. Its totient is φ = 2635379712.

The previous prime is 8392742899. The next prime is 8392742957. The reversal of 8392742928 is 8292472938.

It is a happy number.

8392742928 is a `hidden beast` number, since 83 + 9 + 274 + 292 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8392742899) and next prime (8392742957).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481176 + ... + 498312.

It is an arithmetic number, because the mean of its divisors is an integer number (207198420).

Almost surely, 2^8392742928 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 8392742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431905200).

8392742928 is an abundant number, since it is smaller than the sum of its proper divisors (16471067472).

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

8392742928 is a wasteful number, since it uses less digits than its factorization.

8392742928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17349 (or 17340 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8392742928 is about 91611.9147709511. The cubic root of 8392742928 is about 2032.2071432556.

The spelling of 8392742928 in words is "eight billion, three hundred ninety-two million, seven hundred forty-two thousand, nine hundred twenty-eight".