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28593 = 34353
BaseRepresentation
bin110111110110001
31110020000
412332301
51403333
6340213
7146235
oct67661
943200
1028593
111a534
1214669
1310026
14a5c5
158713
hex6fb1

28593 has 10 divisors (see below), whose sum is σ = 42834. Its totient is φ = 19008.

The previous prime is 28591. The next prime is 28597. The reversal of 28593 is 39582.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 5184 = 153^2 + 72^2 .

It is not a de Polignac number, because 28593 - 21 = 28591 is a prime.

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

It is a d-powerful number, because it can be written as 213 + 83 + 53 + 92 + 39 .

28593 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28593.

It is not an unprimeable number, because it can be changed into a prime (28591) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 96 + ... + 257.

228593 is an apocalyptic number.

It is an amenable number.

28593 is a deficient number, since it is larger than the sum of its proper divisors (14241).

28593 is an equidigital number, since it uses as much as digits as its factorization.

28593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 28593 is about 169.0946480525. The cubic root of 28593 is about 30.5787626574.

It can be divided in two parts, 285 and 93, that added together give a triangular number (378 = T27).

The spelling of 28593 in words is "twenty-eight thousand, five hundred ninety-three".

Divisors: 1 3 9 27 81 353 1059 3177 9531 28593