13028672 has 56 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 6076928.

The previous prime is 13028671. The next prime is 13028689. The reversal of 13028672 is 27682031.

It is a happy number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77933 + ... + 78099.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 2^13028672 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 13028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

13028672 is an abundant number, since it is smaller than the sum of its proper divisors (14622784).

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

13028672 is a wasteful number, since it uses less digits than its factorization.

13028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13028672 is about 3609.5251765295. The cubic root of 13028672 is about 235.3062071435.

The spelling of 13028672 in words is "thirteen million, twenty-eight thousand, six hundred seventy-two".