14191128 has 96 divisors (see below), whose sum is σ = 45171360. Its totient is φ = 3939840.

The previous prime is 14191057. The next prime is 14191129. The reversal of 14191128 is 82119141.

14191128 is a nontrivial binomial coefficient, being equal to C(5328, 2).

It is a super-2 number, since 2×14191128² = 402776227824768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14191129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18268 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (470535).

Almost surely, 2^14191128 is an apocalyptic number.

14191128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14191128 is the 5327-th triangular number and also the 2664-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14191128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

14191128 is an abundant number, since it is smaller than the sum of its proper divisors (30980232).

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

14191128 is a wasteful number, since it uses less digits than its factorization.

14191128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 14191128 is about 3767.1113601804. Note that the first 3 decimals coincide. The cubic root of 14191128 is about 242.1060482779.

The spelling of 14191128 in words is "fourteen million, one hundred ninety-one thousand, one hundred twenty-eight".