14538528 has 120 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 4717440.

The previous prime is 14538527. The next prime is 14538547. The reversal of 14538528 is 82583541.

It is a happy number.

It is a super-2 number, since 2×14538528² = 422737592813568, which contains 22 as substring.

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 = 14538492 and 14538501.

It is not an unprimeable number, because it can be changed into a prime (14538527) 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 19 ways as a sum of consecutive naturals, for example, 183993 + ... + 184071.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 2^14538528 is an apocalyptic number.

14538528 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 14538528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14538528 is an abundant number, since it is smaller than the sum of its proper divisors (29369952).

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

14538528 is an equidigital number, since it uses as much as digits as its factorization.

14538528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 14538528 is about 3812.9421710800. The cubic root of 14538528 is about 244.0657352227.

The spelling of 14538528 in words is "fourteen million, five hundred thirty-eight thousand, five hundred twenty-eight".