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28128132 = 223217194159
BaseRepresentation
bin110101101001…
…1001110000100
31221221001112200
41223103032010
524200100012
62442514500
7461041134
oct153231604
957831480
1028128132
111497209a
129505a30
135a9ac86
143a42ac4
1527093dc
hex1ad3384

28128132 has 144 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 8017920.

The previous prime is 28128109. The next prime is 28128161. The reversal of 28128132 is 23182182.

It is a junction number, because it is equal to n+sod(n) for n = 28128096 and 28128105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476719 + ... + 476777.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 228128132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28128132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

28128132 is an abundant number, since it is smaller than the sum of its proper divisors (54427068).

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

28128132 is a wasteful number, since it uses less digits than its factorization.

28128132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 28128132 is about 5303.5961384706. The cubic root of 28128132 is about 304.1213879266.

The spelling of 28128132 in words is "twenty-eight million, one hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 41 51 57 59 68 76 82 102 114 118 123 153 164 171 177 204 228 236 246 306 323 342 354 369 492 531 612 646 684 697 708 738 779 969 1003 1062 1121 1292 1394 1476 1558 1938 2006 2091 2124 2242 2337 2419 2788 2907 3009 3116 3363 3876 4012 4182 4484 4674 4838 5814 6018 6273 6726 7011 7257 8364 9027 9348 9676 10089 11628 12036 12546 13243 13452 14022 14514 18054 19057 20178 21771 25092 26486 28044 29028 36108 38114 39729 40356 41123 43542 45961 52972 57171 76228 79458 82246 87084 91922 114342 119187 123369 137883 158916 164492 171513 183844 228684 238374 246738 275766 343026 370107 413649 476748 493476 551532 686052 740214 781337 827298 1480428 1562674 1654596 2344011 3125348 4688022 7032033 9376044 14064066 28128132