8679724928 has 128 divisors (see below), whose sum is σ = 20331864000. Its totient is φ = 3613409280.

The previous prime is 8679724927. The next prime is 8679724961. The reversal of 8679724928 is 8294279768.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8679724927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12820526 + ... + 12821202.

Almost surely, 2^8679724928 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 8679724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10165932000).

8679724928 is an abundant number, since it is smaller than the sum of its proper divisors (11652139072).

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

8679724928 is a wasteful number, since it uses less digits than its factorization.

8679724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 62.

The square root of 8679724928 is about 93165.0413406230. The cubic root of 8679724928 is about 2055.1111743991. Note that the first 4 decimals are identical.

The spelling of 8679724928 in words is "eight billion, six hundred seventy-nine million, seven hundred twenty-four thousand, nine hundred twenty-eight".