8279669728 has 96 divisors (see below), whose sum is σ = 18033103872. Its totient is φ = 3710784000.

The previous prime is 8279669701. The next prime is 8279669753.

8279669728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8279669728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16460325 + ... + 16460827.

It is an arithmetic number, because the mean of its divisors is an integer number (187844832).

Almost surely, 2^8279669728 is an apocalyptic number.

8279669728 is a gapful number since it is divisible by the number (88) 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 8279669728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016551936).

8279669728 is an abundant number, since it is smaller than the sum of its proper divisors (9753434144).

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

8279669728 is a wasteful number, since it uses less digits than its factorization.

8279669728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

The square root of 8279669728 is about 90992.6905196236. The cubic root of 8279669728 is about 2023.0393849040.

The spelling of 8279669728 in words is "eight billion, two hundred seventy-nine million, six hundred sixty-nine thousand, seven hundred twenty-eight".