14128128 has 176 divisors, whose sum is σ = 48472960. Its totient is φ = 3981312.

The previous prime is 14128111. The next prime is 14128129. The reversal of 14128128 is 82182141.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14128129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193500 + ... + 193572.

Almost surely, 2^14128128 is an apocalyptic number.

14128128 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 14128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24236480).

14128128 is an abundant number, since it is smaller than the sum of its proper divisors (34344832).

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

14128128 is an equidigital number, since it uses as much as digits as its factorization.

14128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 14128128 is about 3758.7402144868. The cubic root of 14128128 is about 241.7472488045.

The spelling of 14128128 in words is "fourteen million, one hundred twenty-eight thousand, one hundred twenty-eight".