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28282560 = 2635171733
BaseRepresentation
bin110101111100…
…0111011000000
31222012220101020
41223320323000
524220020220
62450105440
7462253305
oct153707300
958186336
1028282560
1114a68119
12957b280
135b23357
143a830ac
15273a040
hex1af8ec0

28282560 has 112 divisors (see below), whose sum is σ = 95134176. Its totient is φ = 7094272.

The previous prime is 28282547. The next prime is 28282567. The reversal of 28282560 is 6528282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28282567) 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 15 ways as a sum of consecutive naturals, for example, 15454 + ... + 17186.

Almost surely, 228282560 is an apocalyptic number.

28282560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47567088).

28282560 is an abundant number, since it is smaller than the sum of its proper divisors (66851616).

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

28282560 is a wasteful number, since it uses less digits than its factorization.

28282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28282560 is about 5318.1350114490. The cubic root of 28282560 is about 304.6769310469.

The spelling of 28282560 in words is "twenty-eight million, two hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 1733 2040 2720 3264 3466 4080 5199 5440 6932 8160 8665 10398 13864 16320 17330 20796 25995 27728 29461 34660 41592 51990 55456 58922 69320 83184 88383 103980 110912 117844 138640 147305 166368 176766 207960 235688 277280 294610 332736 353532 415920 441915 471376 554560 589220 707064 831840 883830 942752 1178440 1414128 1663680 1767660 1885504 2356880 2828256 3535320 4713760 5656512 7070640 9427520 14141280 28282560