33328 has 10 divisors (see below), whose sum is σ = 64604. Its totient is φ = 16656.

The previous prime is 33317. The next prime is 33329. The reversal of 33328 is 82333.

It is a super-2 number, since 2×33328² = 2221511168, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026 + ... + 1057.

2³³³²⁸ is an apocalyptic number.

It is an amenable number.

33328 is a deficient number, since it is larger than the sum of its proper divisors (31276).

33328 is a wasteful number, since it uses less digits than its factorization.

33328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 33328 is about 182.5595793159. The cubic root of 33328 is about 32.1812629697.

Subtracting from 33328 its product of digits (432), we obtain a triangular number (32896 = T₂₅₆).

It can be divided in two parts, 333 and 28, that added together give a square (361 = 19²).

The spelling of 33328 in words is "thirty-three thousand, three hundred twenty-eight".