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BaseRepresentation
bin1000001010010100
31200212002
420022110
52032203
6414432
7166313
oct101224
950762
1033428
112312a
1217418
13122a5
14c27a
159d88
hex8294

33428 has 12 divisors (see below), whose sum is σ = 59892. Its totient is φ = 16320.

The previous prime is 33427. The next prime is 33457. The reversal of 33428 is 82433.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 24964 = 92^2 + 158^2 .

It is a super-2 number, since 2×334282 = 2234862368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3 + 34 + 43 + 215 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33427) by changing a digit.

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, 176 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (4991).

233428 is an apocalyptic number.

It is an amenable number.

33428 is a deficient number, since it is larger than the sum of its proper divisors (26464).

33428 is a wasteful number, since it uses less digits than its factorization.

33428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 33428 is about 182.8332573686. The cubic root of 33428 is about 32.2134172445.

The spelling of 33428 in words is "thirty-three thousand, four hundred twenty-eight".

Divisors: 1 2 4 61 122 137 244 274 548 8357 16714 33428