8728443360 has 576 divisors, whose sum is σ = 38032630272. Its totient is φ = 1840859136.

The previous prime is 8728443349. The next prime is 8728443377. The reversal of 8728443360 is 633448278.

8728443360 is a `hidden beast` number, since 8 + 7 + 284 + 4 + 3 + 360 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3536847 + ... + 3539313.

It is an arithmetic number, because the mean of its divisors is an integer number (66028872).

Almost surely, 2^8728443360 is an apocalyptic number.

8728443360 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 8728443360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016315136).

8728443360 is an abundant number, since it is smaller than the sum of its proper divisors (29304186912).

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

8728443360 is a wasteful number, since it uses less digits than its factorization.

8728443360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 8728443360 is about 93426.1385266457. The cubic root of 8728443360 is about 2058.9490476125.

The spelling of 8728443360 in words is "eight billion, seven hundred twenty-eight million, four hundred forty-three thousand, three hundred sixty".