13328768 has 32 divisors (see below), whose sum is σ = 26842320. Its totient is φ = 6592000.

The previous prime is 13328761. The next prime is 13328797. The reversal of 13328768 is 86782331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12413 + ... + 13443.

Almost surely, 2^13328768 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 13328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13421160).

13328768 is an abundant number, since it is smaller than the sum of its proper divisors (13513552).

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

13328768 is a wasteful number, since it uses less digits than its factorization.

13328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1134 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 13328768 is about 3650.8585291682. The cubic root of 13328768 is about 237.0991532039.

The spelling of 13328768 in words is "thirteen million, three hundred twenty-eight thousand, seven hundred sixty-eight".