33928 has 8 divisors (see below), whose sum is σ = 63630. Its totient is φ = 16960.

The previous prime is 33923. The next prime is 33931. The reversal of 33928 is 82933.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 14884 = 138^2 + 122^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33928² = 2302218368, 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 (33923) by changing a digit.

33928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2113 + ... + 2128.

2³³⁹²⁸ is an apocalyptic number.

It is an amenable number.

33928 is a deficient number, since it is larger than the sum of its proper divisors (29702).

33928 is a wasteful number, since it uses less digits than its factorization.

33928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4243 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 33928 is about 184.1955482633. The cubic root of 33928 is about 32.3732340037.

It can be divided in two parts, 33 and 928, that added together give a square (961 = 31²).

The spelling of 33928 in words is "thirty-three thousand, nine hundred twenty-eight".