13728330 has 144 divisors (see below), whose sum is σ = 45455904. Its totient is φ = 2842560.

The previous prime is 13728329. The next prime is 13728331. The reversal of 13728330 is 3382731.

13728330 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 (13728329) and next prime (13728331).

It is a junction number, because it is equal to n+sod(n) for n = 13728294 and 13728303.

It is not an unprimeable number, because it can be changed into a prime (13728331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48369 + ... + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (315666).

Almost surely, 2^13728330 is an apocalyptic number.

13728330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13728330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727952).

13728330 is an abundant number, since it is smaller than the sum of its proper divisors (31727574).

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

13728330 is a wasteful number, since it uses less digits than its factorization.

13728330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13728330 is about 3705.1761091748. The cubic root of 13728330 is about 239.4450720513.

The spelling of 13728330 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred thirty".