13728208 has 30 divisors (see below), whose sum is σ = 28807494. Its totient is φ = 6334848.

The previous prime is 13728193. The next prime is 13728229. The reversal of 13728208 is 80282731.

13728208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1281424 + 12446784 = 1132^2 + 3528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13728208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166 + ... + 5242.

Almost surely, 2^13728208 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 13728208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403747).

13728208 is an abundant number, since it is smaller than the sum of its proper divisors (15079286).

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

13728208 is a wasteful number, since it uses less digits than its factorization.

13728208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 13728208 is about 3705.1596456833. The cubic root of 13728208 is about 239.4443627544. Note that the first 3 decimals are identical.

The spelling of 13728208 in words is "thirteen million, seven hundred twenty-eight thousand, two hundred eight".