8667619728 has 160 divisors (see below), whose sum is σ = 25095536640. Its totient is φ = 2561771520.

The previous prime is 8667619603. The next prime is 8667619729. The reversal of 8667619728 is 8279167668.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8667619729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2959801 + ... + 2962727.

It is an arithmetic number, because the mean of its divisors is an integer number (156847104).

Almost surely, 2^8667619728 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 8667619728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547768320).

8667619728 is an abundant number, since it is smaller than the sum of its proper divisors (16427916912).

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

8667619728 is a wasteful number, since it uses less digits than its factorization.

8667619728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3159 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 60.

The square root of 8667619728 is about 93100.0522448833. The cubic root of 8667619728 is about 2054.1553412695.

The spelling of 8667619728 in words is "eight billion, six hundred sixty-seven million, six hundred nineteen thousand, seven hundred twenty-eight".