13228768 has 48 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 5584896.

The previous prime is 13228759. The next prime is 13228777. The reversal of 13228768 is 86782231.

13228768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13228759) and next prime (13228777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15948 + ... + 16756.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 2^13228768 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 13228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

13228768 is an abundant number, since it is smaller than the sum of its proper divisors (16980992).

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

13228768 is an equidigital number, since it uses as much as digits as its factorization.

13228768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 13228768 is about 3637.1373358728. The cubic root of 13228768 is about 236.5047131976.

It can be divided in two parts, 132287 and 68, that added together give a triangular number (132355 = T₅₁₄).

The spelling of 13228768 in words is "thirteen million, two hundred twenty-eight thousand, seven hundred sixty-eight".