14185728 has 108 divisors (see below), whose sum is σ = 42090048. Its totient is φ = 4592640.

The previous prime is 14185711. The next prime is 14185747. The reversal of 14185728 is 82758141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14185692 and 14185701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108223 + ... + 108353.

Almost surely, 2^14185728 is an apocalyptic number.

14185728 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 14185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045024).

14185728 is an abundant number, since it is smaller than the sum of its proper divisors (27904320).

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

14185728 is a wasteful number, since it uses less digits than its factorization.

14185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 14185728 is about 3766.3945624430. The cubic root of 14185728 is about 242.0753356965.

The spelling of 14185728 in words is "fourteen million, one hundred eighty-five thousand, seven hundred twenty-eight".