30528 has 42 divisors (see below), whose sum is σ = 89154. Its totient is φ = 9984.

The previous prime is 30517. The next prime is 30529. The reversal of 30528 is 82503.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 2304 = 168^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 30528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30529) by changing a digit.

30528 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550 + ... + 602.

2³⁰⁵²⁸ 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 30528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44577).

30528 is an abundant number, since it is smaller than the sum of its proper divisors (58626).

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

30528 is a wasteful number, since it uses less digits than its factorization.

30528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30528 is about 174.7226373427. The cubic root of 30528 is about 31.2535569285.

It can be divided in two parts, 305 and 28, that added together give a palindrome (333).

The spelling of 30528 in words is "thirty thousand, five hundred twenty-eight".