13393728 has 112 divisors (see below), whose sum is σ = 41208960. Its totient is φ = 4257792.

The previous prime is 13393717. The next prime is 13393733. The reversal of 13393728 is 82739331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13393692 and 13393701.

It is a congruent number.

It is an unprimeable number.

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, 39576 + ... + 39912.

Almost surely, 2^13393728 is an apocalyptic number.

13393728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20604480).

13393728 is an abundant number, since it is smaller than the sum of its proper divisors (27815232).

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

13393728 is a wasteful number, since it uses less digits than its factorization.

13393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13393728 is about 3659.7442533598. The cubic root of 13393728 is about 237.4837100554.

The spelling of 13393728 in words is "thirteen million, three hundred ninety-three thousand, seven hundred twenty-eight".