54528 has 36 divisors (see below), whose sum is σ = 147168. Its totient is φ = 17920.

The previous prime is 54521. The next prime is 54539. The reversal of 54528 is 82545.

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

It is a nialpdrome in base 4 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 54498 and 54507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54521) by changing a digit.

54528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 733 + ... + 803.

It is an arithmetic number, because the mean of its divisors is an integer number (4088).

2⁵⁴⁵²⁸ 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 54528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584).

54528 is an abundant number, since it is smaller than the sum of its proper divisors (92640).

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

54528 is an equidigital number, since it uses as much as digits as its factorization.

54528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 54528 is about 233.5123123092. The cubic root of 54528 is about 37.9204244287.

It can be divided in two parts, 5452 and 8, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 54528 in words is "fifty-four thousand, five hundred twenty-eight".