13912128 has 112 divisors (see below), whose sum is σ = 41818560. Its totient is φ = 4534272.

The previous prime is 13912127. The next prime is 13912147. The reversal of 13912128 is 82121931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13912127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143376 + ... + 143472.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 2^13912128 is an apocalyptic number.

13912128 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 13912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20909280).

13912128 is an abundant number, since it is smaller than the sum of its proper divisors (27906432).

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

13912128 is an equidigital number, since it uses as much as digits as its factorization.

13912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 13912128 is about 3729.8965133097. The cubic root of 13912128 is about 240.5089200720.

The spelling of 13912128 in words is "thirteen million, nine hundred twelve thousand, one hundred twenty-eight".