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28817040 = 24357171009
BaseRepresentation
bin110110111101…
…1011010010000
32000020001112210
41231323122100
524334121130
62505352120
7466640460
oct155733220
960201483
1028817040
11152a273a
129798640
135c7c705
143b81ba0
1527e35b0
hex1b7b690

28817040 has 160 divisors (see below), whose sum is σ = 108207360. Its totient is φ = 6193152.

The previous prime is 28817003. The next prime is 28817069. The reversal of 28817040 is 4071882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28816989 and 28817007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28056 + ... + 29064.

It is an arithmetic number, because the mean of its divisors is an integer number (676296).

Almost surely, 228817040 is an apocalyptic number.

28817040 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 28817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54103680).

28817040 is an abundant number, since it is smaller than the sum of its proper divisors (79390320).

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

28817040 is a wasteful number, since it uses less digits than its factorization.

28817040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 28817040 is about 5368.1505194992. The cubic root of 28817040 is about 306.5842143383.

The spelling of 28817040 in words is "twenty-eight million, eight hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1009 1020 1190 1360 1428 1680 1785 1904 2018 2040 2380 2856 3027 3570 4036 4080 4760 5045 5712 6054 7063 7140 8072 9520 10090 12108 14126 14280 15135 16144 17153 20180 21189 24216 28252 28560 30270 34306 35315 40360 42378 48432 51459 56504 60540 68612 70630 80720 84756 85765 102918 105945 113008 120071 121080 137224 141260 169512 171530 205836 211890 240142 242160 257295 274448 282520 339024 343060 360213 411672 423780 480284 514590 565040 600355 686120 720426 823344 847560 960568 1029180 1200710 1372240 1440852 1695120 1801065 1921136 2058360 2401420 2881704 3602130 4116720 4802840 5763408 7204260 9605680 14408520 28817040