8268728832 has 600 divisors, whose sum is σ = 31016553876. Its totient is φ = 2173796352.

The previous prime is 8268728789. The next prime is 8268728929. The reversal of 8268728832 is 2388278628.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 2244485376 = 77616^2 + 47376^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417508 + ... + 26417820.

Almost surely, 2^8268728832 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 8268728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508276938).

8268728832 is an abundant number, since it is smaller than the sum of its proper divisors (22747825044).

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

8268728832 is a wasteful number, since it uses less digits than its factorization.

8268728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 338 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 8268728832 is about 90932.5510034773. The cubic root of 8268728832 is about 2022.1478992627.

The spelling of 8268728832 in words is "eight billion, two hundred sixty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two".