14538128 has 80 divisors (see below), whose sum is σ = 33587136. Its totient is φ = 6021120.

The previous prime is 14538127. The next prime is 14538143. The reversal of 14538128 is 82183541.

It is a super-2 number, since 2×14538128² = 422714331488768, which contains 22 as substring.

Its product of digits (7680) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 14538094 and 14538103.

It is not an unprimeable number, because it can be changed into a prime (14538127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128600 + ... + 128712.

Almost surely, 2^14538128 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 14538128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793568).

14538128 is an abundant number, since it is smaller than the sum of its proper divisors (19049008).

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

14538128 is a wasteful number, since it uses less digits than its factorization.

14538128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 14538128 is about 3812.8897177862. The cubic root of 14538128 is about 244.0634968670.

The spelling of 14538128 in words is "fourteen million, five hundred thirty-eight thousand, one hundred twenty-eight".