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28705921272 = 23327222935531
BaseRepresentation
bin11010101111000000…
…011001100011111000
32202002120020220002100
4122233000121203320
5432242203440042
621104243303400
72034234206400
oct325700314370
982076226070
1028705921272
11111a0820586
12569167ab60
132926251342
141564629800
15b3020824c
hex6af0198f8

28705921272 has 144 divisors (see below), whose sum is σ = 90835781400. Its totient is φ = 8165646720.

The previous prime is 28705921271. The next prime is 28705921303. The reversal of 28705921272 is 27212950782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28705921271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790147 + ... + 825677.

Almost surely, 228705921272 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 28705921272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417890700).

28705921272 is an abundant number, since it is smaller than the sum of its proper divisors (62129860128).

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

28705921272 is a wasteful number, since it uses less digits than its factorization.

28705921272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35786 (or 35772 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 28705921272 in words is "twenty-eight billion, seven hundred five million, nine hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 229 252 294 392 441 458 504 588 687 882 916 1176 1374 1603 1764 1832 2061 2748 3206 3528 4122 4809 5496 6412 8244 9618 11221 12824 14427 16488 19236 22442 28854 33663 35531 38472 44884 57708 67326 71062 89768 100989 106593 115416 134652 142124 201978 213186 248717 269304 284248 319779 403956 426372 497434 639558 746151 807912 852744 994868 1279116 1492302 1741019 1989736 2238453 2558232 2984604 3482038 4476906 5223057 5969208 6964076 8136599 8953812 10446114 13928152 15669171 16273198 17907624 20892228 24409797 31338342 32546396 41784456 48819594 56956193 62676684 65092792 73229391 97639188 113912386 125353368 146458782 170868579 195278376 227824772 292917564 341737158 398693351 455649544 512605737 585835128 683474316 797386702 1025211474 1196080053 1366948632 1594773404 2050422948 2392160106 3189546808 3588240159 4100845896 4784320212 7176480318 9568640424 14352960636 28705921272