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28168920 = 23325132463
BaseRepresentation
bin110101101110…
…1001011011000
31222000010111100
41223131023120
524202401140
62443431400
7461301063
oct153351330
958003440
1028168920
111499a7aa
129525560
135ab3700
143a538da
152716530
hex1add2d8

28168920 has 144 divisors (see below), whose sum is σ = 99347040. Its totient is φ = 6918912.

The previous prime is 28168919. The next prime is 28168939. The reversal of 28168920 is 2986182.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60609 + ... + 61071.

It is an arithmetic number, because the mean of its divisors is an integer number (689910).

Almost surely, 228168920 is an apocalyptic number.

28168920 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 28168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49673520).

28168920 is an abundant number, since it is smaller than the sum of its proper divisors (71178120).

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

28168920 is a wasteful number, since it uses less digits than its factorization.

28168920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28168920 is about 5307.4400608956. The cubic root of 28168920 is about 304.2683168939.

The spelling of 28168920 in words is "twenty-eight million, one hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 169 180 195 234 260 312 338 360 390 463 468 507 520 585 676 780 845 926 936 1014 1170 1352 1389 1521 1560 1690 1852 2028 2315 2340 2535 2778 3042 3380 3704 4056 4167 4630 4680 5070 5556 6019 6084 6760 6945 7605 8334 9260 10140 11112 12038 12168 13890 15210 16668 18057 18520 20280 20835 24076 27780 30095 30420 33336 36114 41670 48152 54171 55560 60190 60840 72228 78247 83340 90285 108342 120380 144456 156494 166680 180570 216684 234741 240760 270855 312988 361140 391235 433368 469482 541710 625976 704223 722280 782470 938964 1083420 1173705 1408446 1564940 1877928 2166840 2347410 2816892 3129880 3521115 4694820 5633784 7042230 9389640 14084460 28168920