33528 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 10080.

The previous prime is 33521. The next prime is 33529. The reversal of 33528 is 82533.

33528 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33528² = 2248253568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33521) 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, 201 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³³⁵²⁸ 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 33528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

33528 is an abundant number, since it is smaller than the sum of its proper divisors (58632).

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

33528 is a wasteful number, since it uses less digits than its factorization.

33528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 33528 is about 183.1065263719. The cubic root of 33528 is about 32.2455074566.

It can be divided in two parts, 335 and 28, that added together give a palindrome (363).

The spelling of 33528 in words is "thirty-three thousand, five hundred twenty-eight".