79129728 has 96 divisors (see below), whose sum is σ = 229729500. Its totient is φ = 26142720.

The previous prime is 79129723. The next prime is 79129733. The reversal of 79129728 is 82792197.

It is an interprime number because it is at equal distance from previous prime (79129723) and next prime (79129733).

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 7354944 = 8472^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) 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 (79129723) 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, 171418 + ... + 171878.

Almost surely, 2^79129728 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 79129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114864750).

79129728 is an abundant number, since it is smaller than the sum of its proper divisors (150599772).

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

79129728 is a wasteful number, since it uses less digits than its factorization.

79129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 79129728 is about 8895.4891939679. The cubic root of 79129728 is about 429.3187843618.

The spelling of 79129728 in words is "seventy-nine million, one hundred twenty-nine thousand, seven hundred twenty-eight".