13792128 has 96 divisors (see below), whose sum is σ = 42674760. Its totient is φ = 3935232.

The previous prime is 13792127. The next prime is 13792133. The reversal of 13792128 is 82129731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13792123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18450 + ... + 19182.

Almost surely, 2^13792128 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 13792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337380).

13792128 is an abundant number, since it is smaller than the sum of its proper divisors (28882632).

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

13792128 is an equidigital number, since it uses as much as digits as its factorization.

13792128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 13792128 is about 3713.7754374760. The cubic root of 13792128 is about 239.8154136247.

The spelling of 13792128 in words is "thirteen million, seven hundred ninety-two thousand, one hundred twenty-eight".