8428722624 has 280 divisors, whose sum is σ = 28678510080. Its totient is φ = 2397786624.

The previous prime is 8428722583. The next prime is 8428722667. The reversal of 8428722624 is 4262278248.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8428722624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13027069 + ... + 13027715.

Almost surely, 2^8428722624 is an apocalyptic number.

8428722624 is a gapful number since it is divisible by the number (84) 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 8428722624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339255040).

8428722624 is an abundant number, since it is smaller than the sum of its proper divisors (20249787456).

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

8428722624 is a wasteful number, since it uses less digits than its factorization.

8428722624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1018 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 8428722624 is about 91808.0749389726. The cubic root of 8428722624 is about 2035.1070278373.

The spelling of 8428722624 in words is "eight billion, four hundred twenty-eight million, seven hundred twenty-two thousand, six hundred twenty-four".