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12828 = 2231069
BaseRepresentation
bin11001000011100
3122121010
43020130
5402303
6135220
752254
oct31034
918533
1012828
119702
127510
135aba
144964
153c03
hex321c

12828 has 12 divisors (see below), whose sum is σ = 29960. Its totient is φ = 4272.

The previous prime is 12823. The next prime is 12829. The reversal of 12828 is 82821.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.

12828 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 in 3 ways as a sum of consecutive naturals, for example, 523 + ... + 546.

212828 is an apocalyptic number.

It is an amenable number.

12828 is an abundant number, since it is smaller than the sum of its proper divisors (17132).

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 (14980).

12828 is a wasteful number, since it uses less digits than its factorization.

12828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1074 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 12828 is about 113.2607610781. The cubic root of 12828 is about 23.4091862537.

The spelling of 12828 in words is "twelve thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 1069 2138 3207 4276 6414 12828