13363728 has 80 divisors (see below), whose sum is σ = 40759296. Its totient is φ = 3692160.

The previous prime is 13363723. The next prime is 13363729. The reversal of 13363728 is 82736331.

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 (13363723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9775 + ... + 11057.

Almost surely, 2^13363728 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 13363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379648).

13363728 is an abundant number, since it is smaller than the sum of its proper divisors (27395568).

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

13363728 is a wasteful number, since it uses less digits than its factorization.

13363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 13363728 is about 3655.6433086394. The cubic root of 13363728 is about 237.3062678670.

The spelling of 13363728 in words is "thirteen million, three hundred sixty-three thousand, seven hundred twenty-eight".