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28418985 = 3357172961
BaseRepresentation
bin110110001101…
…0001110101001
31222110211112000
41230122032221
524233401420
62453041213
7463362120
oct154321651
958424460
1028418985
1115050671
129626209
135b7048a
143abaab7
152765690
hex1b1a3a9

28418985 has 128 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 11612160.

The previous prime is 28418969. The next prime is 28418989. The reversal of 28418985 is 58981482.

It is a happy number.

It is not a de Polignac number, because 28418985 - 24 = 28418969 is a prime.

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

Its product of digits (184320) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 28418985.

It is not an unprimeable number, because it can be changed into a prime (28418989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465855 + ... + 465915.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 228418985 is an apocalyptic number.

It is an amenable number.

28418985 is an abundant number, since it is smaller than the sum of its proper divisors (35862615).

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

28418985 is a wasteful number, since it uses less digits than its factorization.

28418985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 28418985 is about 5330.9459760909. The cubic root of 28418985 is about 305.1660298222.

It can be divided in two parts, 28418 and 985, that added together give a triangular number (29403 = T242).

The spelling of 28418985 in words is "twenty-eight million, four hundred eighteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 29 35 45 51 61 63 85 87 105 119 135 145 153 183 189 203 255 261 305 315 357 427 435 459 493 549 595 609 765 783 915 945 1015 1037 1071 1281 1305 1479 1647 1769 1785 1827 2135 2295 2465 2745 3045 3111 3213 3451 3843 3915 4437 5185 5307 5355 5481 6405 7259 7395 8235 8845 9135 9333 10353 11529 12383 13311 15555 15921 16065 17255 19215 21777 22185 26535 27405 27999 30073 31059 36295 37149 46665 47763 51765 57645 61915 65331 66555 79605 90219 93177 108885 111447 139995 150365 155295 185745 195993 210511 238815 270657 326655 334341 451095 465885 557235 631533 811971 979965 1052555 1353285 1671705 1894599 3157665 4059855 5683797 9472995 28418985