27528 has 32 divisors (see below), whose sum is σ = 72960. Its totient is φ = 8640.

The previous prime is 27527. The next prime is 27529. The reversal of 27528 is 82572.

It is an interprime number because it is at equal distance from previous prime (27527) and next prime (27529).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 27498 and 27507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

2²⁷⁵²⁸ 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 27528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480).

27528 is an abundant number, since it is smaller than the sum of its proper divisors (45432).

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

27528 is a wasteful number, since it uses less digits than its factorization.

27528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 73 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 27528 is about 165.9156412156. The cubic root of 27528 is about 30.1942944940.

It can be divided in two parts, 275 and 28, that added together give a palindrome (303).

The spelling of 27528 in words is "twenty-seven thousand, five hundred twenty-eight".