13226928 has 160 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 3532800.

The previous prime is 13226921. The next prime is 13227023. The reversal of 13226928 is 82962231.

It is a happy number.

13226928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13226921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281401 + ... + 281447.

Almost surely, 2^13226928 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 13226928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

13226928 is an abundant number, since it is smaller than the sum of its proper divisors (28770384).

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

13226928 is a wasteful number, since it uses less digits than its factorization.

13226928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 13226928 is about 3636.8843808953. The cubic root of 13226928 is about 236.4937474788.

The spelling of 13226928 in words is "thirteen million, two hundred twenty-six thousand, nine hundred twenty-eight".