13728428 has 36 divisors (see below), whose sum is σ = 28297080. Its totient is φ = 5810112.

The previous prime is 13728427. The next prime is 13728433. The reversal of 13728428 is 82482731.

It is not an unprimeable number, because it can be changed into a prime (13728427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17051 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (786030).

Almost surely, 2^13728428 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 13728428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148540).

13728428 is an abundant number, since it is smaller than the sum of its proper divisors (14568652).

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

13728428 is a wasteful number, since it uses less digits than its factorization.

13728428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 885 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 13728428 is about 3705.1893338937. The cubic root of 13728428 is about 239.4456418113.

The spelling of 13728428 in words is "thirteen million, seven hundred twenty-eight thousand, four hundred twenty-eight".