13079628 has 36 divisors (see below), whose sum is σ = 33179328. Its totient is φ = 4344480.

The previous prime is 13079623. The next prime is 13079639. The reversal of 13079628 is 82697031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13079592 and 13079601.

It is not an unprimeable number, because it can be changed into a prime (13079623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14725 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (921648).

Almost surely, 2^13079628 is an apocalyptic number.

13079628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13079628 is an abundant number, since it is smaller than the sum of its proper divisors (20099700).

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

13079628 is a wasteful number, since it uses less digits than its factorization.

13079628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13079628 is about 3616.5768345218. The cubic root of 13079628 is about 235.6125741418.

The spelling of 13079628 in words is "thirteen million, seventy-nine thousand, six hundred twenty-eight".