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28314 = 23211213
BaseRepresentation
bin110111010011010
31102211200
412322122
51401224
6335030
7145356
oct67232
942750
1028314
111a300
1214476
13cb70
14a466
1585c9
hex6e9a

28314 has 36 divisors (see below), whose sum is σ = 72618. Its totient is φ = 7920.

The previous prime is 28309. The next prime is 28319. The reversal of 28314 is 41382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28309) and next prime (28319).

It can be written as a sum of positive squares in only one way, i.e., 27225 + 1089 = 165^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28314.

It is not an unprimeable number, because it can be changed into a prime (28319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2172 + ... + 2184.

228314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36309).

28314 is an abundant number, since it is smaller than the sum of its proper divisors (44304).

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

28314 is a wasteful number, since it uses less digits than its factorization.

28314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 29 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 28314 is about 168.2676439486. The cubic root of 28314 is about 30.4789786171.

The spelling of 28314 in words is "twenty-eight thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 28314