14864128 has 36 divisors (see below), whose sum is σ = 30643648. Its totient is φ = 7188480.

The previous prime is 14864123. The next prime is 14864131. The reversal of 14864128 is 82146841.

It is a junction number, because it is equal to n+sod(n) for n = 14864093 and 14864102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14864123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7000 + ... + 8872.

Almost surely, 2^14864128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321824).

14864128 is an abundant number, since it is smaller than the sum of its proper divisors (15779520).

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

14864128 is an equidigital number, since it uses as much as digits as its factorization.

14864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1906 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 14864128 is about 3855.4024433255. The cubic root of 14864128 is about 245.8743050993.

The spelling of 14864128 in words is "fourteen million, eight hundred sixty-four thousand, one hundred twenty-eight".