13628928 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4294656.

The previous prime is 13628921. The next prime is 13628929. The reversal of 13628928 is 82982631.

It is a happy number.

13628928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28951 + ... + 29417.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 2^13628928 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 13628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

13628928 is an abundant number, since it is smaller than the sum of its proper divisors (24672192).

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

13628928 is an equidigital number, since it uses as much as digits as its factorization.

13628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13628928 is about 3691.7378021739. The cubic root of 13628928 is about 238.8657591291.

The spelling of 13628928 in words is "thirteen million, six hundred twenty-eight thousand, nine hundred twenty-eight".