14785128 has 96 divisors (see below), whose sum is σ = 42424200. Its totient is φ = 4644864.

The previous prime is 14785079. The next prime is 14785139. The reversal of 14785128 is 82158741.

It can be written as a sum of positive squares in 4 ways, for example, as 12830724 + 1954404 = 3582^2 + 1398^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14785092 and 14785101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152376 + ... + 152472.

Almost surely, 2^14785128 is an apocalyptic number.

14785128 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 14785128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212100).

14785128 is an abundant number, since it is smaller than the sum of its proper divisors (27639072).

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

14785128 is a wasteful number, since it uses less digits than its factorization.

14785128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

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

The square root of 14785128 is about 3845.1434303547. The cubic root of 14785128 is about 245.4379394677.

The spelling of 14785128 in words is "fourteen million, seven hundred eighty-five thousand, one hundred twenty-eight".