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28356 = 22317139
BaseRepresentation
bin110111011000100
31102220020
412323010
51401411
6335140
7145446
oct67304
942806
1028356
111a339
12144b0
13cba3
14a496
158606
hex6ec4

28356 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 8832.

The previous prime is 28351. The next prime is 28387. The reversal of 28356 is 65382.

28356 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (28351) by changing a digit.

28356 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 7 ways as a sum of consecutive naturals, for example, 135 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

228356 is an apocalyptic number.

28356 is the 107-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

28356 is an abundant number, since it is smaller than the sum of its proper divisors (42204).

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

28356 is a wasteful number, since it uses less digits than its factorization.

28356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 28356 is about 168.3923988783. The cubic root of 28356 is about 30.4940416561.

The spelling of 28356 in words is "twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 139 204 278 417 556 834 1668 2363 4726 7089 9452 14178 28356