33028 has 12 divisors (see below), whose sum is σ = 60480. Its totient is φ = 15752.

The previous prime is 33023. The next prime is 33029. The reversal of 33028 is 82033.

It is a happy number.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 2¹⁵ + 8 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (33023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2³³⁰²⁸ is an apocalyptic number.

It is an amenable number.

33028 is a deficient number, since it is larger than the sum of its proper divisors (27452).

33028 is a wasteful number, since it uses less digits than its factorization.

33028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33028 is about 181.7360723687. The cubic root of 33028 is about 32.0844125497.

The spelling of 33028 in words is "thirty-three thousand, twenty-eight".