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33828 = 2232819
BaseRepresentation
bin1000010000100100
31201101220
420100210
52040303
6420340
7200424
oct102044
951356
1033828
1123463
12176b0
1312522
14c484
15a053
hex8424

33828 has 12 divisors (see below), whose sum is σ = 78960. Its totient is φ = 11272.

The previous prime is 33827. The next prime is 33829. The reversal of 33828 is 82833.

Adding to 33828 its product of digits (1152), we get a triangular number (34980 = T264).

It can be divided in two parts, 33 and 828, that added together give a triangular number (861 = T41).

It is an interprime number because it is at equal distance from previous prime (33827) and next prime (33829).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×338282 = 2288667168, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 32 + 33 + 83 + 215 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 33798 and 33807.

It is not an unprimeable number, because it can be changed into a prime (33827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1398 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (6580).

233828 is an apocalyptic number.

It is an amenable number.

33828 is an abundant number, since it is smaller than the sum of its proper divisors (45132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39480).

33828 is a wasteful number, since it uses less digits than its factorization.

33828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2824 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 33828 is about 183.9238973054. The cubic root of 33828 is about 32.3413968859.

The spelling of 33828 in words is "thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 2819 5638 8457 11276 16914 33828