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28165830 = 23571189137
BaseRepresentation
bin110101101110…
…0011011000110
31221222222020220
41223130123012
524202301310
62443405210
7461256060
oct153343306
957888226
1028165830
1114998450
129523806
135ab2194
143a52730
152715670
hex1adc6c6

28165830 has 128 divisors (see below), whose sum is σ = 85847040. Its totient is φ = 5744640.

The previous prime is 28165799. The next prime is 28165861. The reversal of 28165830 is 3856182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28165799) and next prime (28165861).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 28165791 and 28165800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205522 + ... + 205658.

It is an arithmetic number, because the mean of its divisors is an integer number (670680).

Almost surely, 228165830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28165830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42923520).

28165830 is an abundant number, since it is smaller than the sum of its proper divisors (57681210).

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

28165830 is a wasteful number, since it uses less digits than its factorization.

28165830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28165830 is about 5307.1489521211. The cubic root of 28165830 is about 304.2571908789.

It can be divided in two parts, 2816 and 5830, that added together give a triangular number (8646 = T131).

The spelling of 28165830 in words is "twenty-eight million, one hundred sixty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 89 105 110 137 154 165 178 210 231 267 274 330 385 411 445 462 534 623 685 770 822 890 959 979 1155 1246 1335 1370 1507 1869 1918 1958 2055 2310 2670 2877 2937 3014 3115 3738 4110 4521 4795 4895 5754 5874 6230 6853 7535 9042 9345 9590 9790 10549 12193 13706 14385 14685 15070 18690 20559 21098 22605 24386 28770 29370 31647 34265 36579 41118 45210 52745 60965 63294 68530 73158 85351 102795 105490 121930 134123 158235 170702 182895 205590 256053 268246 316470 365790 402369 426755 512106 670615 804738 853510 938861 1280265 1341230 1877722 2011845 2560530 2816583 4023690 4694305 5633166 9388610 14082915 28165830