13228872 has 64 divisors (see below), whose sum is σ = 34776000. Its totient is φ = 4187904.

The previous prime is 13228867. The next prime is 13228903. The reversal of 13228872 is 27882231.

13228872 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57654 + ... + 57882.

It is an arithmetic number, because the mean of its divisors is an integer number (543375).

Almost surely, 2^13228872 is an apocalyptic number.

13228872 is a gapful number since it is divisible by the number (12) 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 13228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17388000).

13228872 is an abundant number, since it is smaller than the sum of its proper divisors (21547128).

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

13228872 is a wasteful number, since it uses less digits than its factorization.

13228872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 346 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 13228872 is about 3637.1516328028. The cubic root of 13228872 is about 236.5053329687.

The spelling of 13228872 in words is "thirteen million, two hundred twenty-eight thousand, eight hundred seventy-two".