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28917 = 35717
BaseRepresentation
bin111000011110101
31110200000
413003311
51411132
6341513
7150210
oct70365
943600
1028917
111a7a9
1214899
1310215
14a777
15887c
hex70f5

28917 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 15552.

The previous prime is 28909. The next prime is 28921. The reversal of 28917 is 71982.

It is not a de Polignac number, because 28917 - 23 = 28909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

228917 is an apocalyptic number.

28917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

28917 is a deficient number, since it is larger than the sum of its proper divisors (23499).

28917 is an equidigital number, since it uses as much as digits as its factorization.

28917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 28917 is about 170.0499926492. The cubic root of 28917 is about 30.6938296405.

It can be divided in two parts, 289 and 17, that multiplied together give a cube (4913 = 173).

The spelling of 28917 in words is "twenty-eight thousand, nine hundred seventeen".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 357 459 567 1071 1377 1701 3213 4131 9639 28917