8618761728 has 120 divisors (see below), whose sum is σ = 26337765168. Its totient is φ = 2703900672.

The previous prime is 8618761727. The next prime is 8618761751. The reversal of 8618761728 is 8271678168.

It is a happy number.

8618761728 is a `hidden beast` number, since 8 + 6 + 18 + 7 + 617 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8618761727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23325 + ... + 133347.

Almost surely, 2^8618761728 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 8618761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168882584).

8618761728 is an abundant number, since it is smaller than the sum of its proper divisors (17719003440).

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

8618761728 is a wasteful number, since it uses less digits than its factorization.

8618761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110064 (or 110045 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 8618761728 is about 92837.2863024335. The cubic root of 8618761728 is about 2050.2884169258.

The spelling of 8618761728 in words is "eight billion, six hundred eighteen million, seven hundred sixty-one thousand, seven hundred twenty-eight".