13179828 has 72 divisors (see below), whose sum is σ = 34630848. Its totient is φ = 3880448.

The previous prime is 13179827. The next prime is 13179839. The reversal of 13179828 is 82897131.

13179828 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13179828² = 347415732219168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13179827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248650 + ... + 248702.

It is an arithmetic number, because the mean of its divisors is an integer number (480984).

Almost surely, 2^13179828 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 13179828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17315424).

13179828 is an abundant number, since it is smaller than the sum of its proper divisors (21451020).

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

13179828 is a wasteful number, since it uses less digits than its factorization.

13179828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 98 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 13179828 is about 3630.4032833833. The cubic root of 13179828 is about 236.2127020428.

The spelling of 13179828 in words is "thirteen million, one hundred seventy-nine thousand, eight hundred twenty-eight".