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28853160 = 233573701
BaseRepresentation
bin110111000010…
…0001110101000
32000021220002120
41232010032220
524341300120
62510231240
7500151000
oct156041650
960256076
1028853160
1115317896
1297b5520
135c92c9b
143b91000
1527ee140
hex1b843a8

28853160 has 128 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 6585600.

The previous prime is 28853141. The next prime is 28853179. The reversal of 28853160 is 6135882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28853141) and next prime (28853179).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40810 + ... + 41510.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 228853160 is an apocalyptic number.

28853160 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 28853160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

28853160 is an abundant number, since it is smaller than the sum of its proper divisors (72234840).

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

28853160 is a wasteful number, since it uses less digits than its factorization.

28853160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

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

The square root of 28853160 is about 5371.5137531240. The cubic root of 28853160 is about 306.7122543024.

The spelling of 28853160 in words is "twenty-eight million, eight hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 701 735 840 980 1029 1176 1372 1402 1470 1715 1960 2058 2103 2744 2804 2940 3430 3505 4116 4206 4907 5145 5608 5880 6860 7010 8232 8412 9814 10290 10515 13720 14020 14721 16824 19628 20580 21030 24535 28040 29442 34349 39256 41160 42060 49070 58884 68698 73605 84120 98140 103047 117768 137396 147210 171745 196280 206094 240443 274792 294420 343490 412188 480886 515235 588840 686980 721329 824376 961772 1030470 1202215 1373960 1442658 1923544 2060940 2404430 2885316 3606645 4121880 4808860 5770632 7213290 9617720 14426580 28853160