13628328 has 64 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3723456.

The previous prime is 13628327. The next prime is 13628341. The reversal of 13628328 is 82382631.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13628327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 5627.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^13628328 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 13628328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13628328 is an abundant number, since it is smaller than the sum of its proper divisors (27014232).

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

13628328 is a wasteful number, since it uses less digits than its factorization.

13628328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3562 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 13628328 is about 3691.6565387370. The cubic root of 13628328 is about 238.8622538018.

The spelling of 13628328 in words is "thirteen million, six hundred twenty-eight thousand, three hundred twenty-eight".