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28665585 = 32513192579
BaseRepresentation
bin110110101011…
…0011011110001
31222221100210100
41231112123301
524314244320
62502223013
7465440064
oct155263361
958840710
1028665585
11151a9973
129724a69
135c287b0
143b428db
1527b3790
hex1b566f1

28665585 has 48 divisors (see below), whose sum is σ = 56347200. Its totient is φ = 13364352.

The previous prime is 28665577. The next prime is 28665589. The reversal of 28665585 is 58556682.

28665585 is a `hidden beast` number, since 2 + 8 + 6 + 65 + 585 = 666.

It is not a de Polignac number, because 28665585 - 23 = 28665577 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 28665585.

It is not an unprimeable number, because it can be changed into a prime (28665589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9826 + ... + 12404.

It is an arithmetic number, because the mean of its divisors is an integer number (1173900).

Almost surely, 228665585 is an apocalyptic number.

It is an amenable number.

28665585 is a deficient number, since it is larger than the sum of its proper divisors (27681615).

28665585 is a wasteful number, since it uses less digits than its factorization.

28665585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2619 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 28665585 is about 5354.0251213456. The cubic root of 28665585 is about 306.0461611765.

It can be divided in two parts, 28665 and 585, that multiplied together give a square (16769025 = 40952).

The spelling of 28665585 in words is "twenty-eight million, six hundred sixty-five thousand, five hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 285 585 741 855 1235 2223 2579 3705 7737 11115 12895 23211 33527 38685 49001 100581 116055 147003 167635 245005 301743 441009 502905 637013 735015 1508715 1911039 2205045 3185065 5733117 9555195 28665585