33128 has 16 divisors (see below), whose sum is σ = 64260. Its totient is φ = 16000.

The previous prime is 33119. The next prime is 33149. The reversal of 33128 is 82133.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 4 = 182^2 + 2^2 .

Its product of digits (144) is a multiple of the sum of its prime divisors (144).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33128.

It is an unprimeable 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, 278 + ... + 378.

2³³¹²⁸ is an apocalyptic number.

It is an amenable number.

33128 is a deficient number, since it is larger than the sum of its proper divisors (31132).

33128 is a wasteful number, since it uses less digits than its factorization.

33128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 33128 is about 182.0109886793. The cubic root of 33128 is about 32.1167609469.

It can be divided in two parts, 33 and 128, that multiplied together give a palindrome (4224).

The spelling of 33128 in words is "thirty-three thousand, one hundred twenty-eight".