8392828752 has 480 divisors, whose sum is σ = 31049441280. Its totient is φ = 2052449280.

The previous prime is 8392828747. The next prime is 8392828799. The reversal of 8392828752 is 2578282938.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13826433 + ... + 13827039.

It is an arithmetic number, because the mean of its divisors is an integer number (64686336).

Almost surely, 2^8392828752 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 8392828752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524720640).

8392828752 is an abundant number, since it is smaller than the sum of its proper divisors (22656612528).

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

8392828752 is a wasteful number, since it uses less digits than its factorization.

8392828752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 702 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8392828752 is about 91612.3831804413. The cubic root of 8392828752 is about 2032.2140703335.

The spelling of 8392828752 in words is "eight billion, three hundred ninety-two million, eight hundred twenty-eight thousand, seven hundred fifty-two".