57528 has 48 divisors (see below), whose sum is σ = 168480. Its totient is φ = 17664.

The previous prime is 57527. The next prime is 57529. The reversal of 57528 is 82575.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57527) and next prime (57529).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57527) 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 11 ways as a sum of consecutive naturals, for example, 1201 + ... + 1247.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁵⁷⁵²⁸ 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 57528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

57528 is an abundant number, since it is smaller than the sum of its proper divisors (110952).

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

57528 is a wasteful number, since it uses less digits than its factorization.

57528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 57528 is about 239.8499530957. The cubic root of 57528 is about 38.6034771850.

It can be divided in two parts, 57 and 528, that added together give a palindrome (585).

The spelling of 57528 in words is "fifty-seven thousand, five hundred twenty-eight".