79589328 has 240 divisors, whose sum is σ = 273107520. Its totient is φ = 19740672.

The previous prime is 79589317. The next prime is 79589329. The reversal of 79589328 is 82398597.

It is a super-2 number, since 2×79589328² = 12668922262983168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79589329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580876 + ... + 581012.

It is an arithmetic number, because the mean of its divisors is an integer number (1137948).

Almost surely, 2^79589328 is an apocalyptic number.

79589328 is a gapful number since it is divisible by the number (78) 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 79589328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136553760).

79589328 is an abundant number, since it is smaller than the sum of its proper divisors (193518192).

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

79589328 is a wasteful number, since it uses less digits than its factorization.

79589328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 79589328 is about 8921.2851092205. The cubic root of 79589328 is about 430.1483677663.

The spelling of 79589328 in words is "seventy-nine million, five hundred eighty-nine thousand, three hundred twenty-eight".