13928672 has 48 divisors (see below), whose sum is σ = 29836800. Its totient is φ = 6376320.

The previous prime is 13928659. The next prime is 13928683. The reversal of 13928672 is 27682931.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18479 + ... + 19217.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 2^13928672 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 13928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918400).

13928672 is an abundant number, since it is smaller than the sum of its proper divisors (15908128).

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

13928672 is a wasteful number, since it uses less digits than its factorization.

13928672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 13928672 is about 3732.1136102750. The cubic root of 13928672 is about 240.6042182986.

The spelling of 13928672 in words is "thirteen million, nine hundred twenty-eight thousand, six hundred seventy-two".