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28346613552 = 243417275683
BaseRepresentation
bin11010011001100101…
…101111111100110000
32201011112011011120000
4122121211233330300
5431023213113202
621004450150000
72022312145125
oct323145577460
981145134500
1028346613552
1111026a19354
1255b1282300
13289998971a
14152ca1874c
15b0d8d191c
hex69996ff30

28346613552 has 150 divisors (see below), whose sum is σ = 87154439988. Its totient is φ = 8892937728.

The previous prime is 28346613541. The next prime is 28346613583. The reversal of 28346613552 is 25531664382.

28346613552 is a `hidden beast` number, since 2 + 8 + 3 + 466 + 135 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28346613498 and 28346613507.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 336703 + ... + 412385.

Almost surely, 228346613552 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 28346613552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43577219994).

28346613552 is an abundant number, since it is smaller than the sum of its proper divisors (58807826436).

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

28346613552 is a wasteful number, since it uses less digits than its factorization.

28346613552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75737 (or 75705 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 28346613552 in words is "twenty-eight billion, three hundred forty-six million, six hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 408 432 459 578 612 648 816 867 918 1156 1224 1296 1377 1734 1836 2312 2448 2601 2754 3468 3672 4624 5202 5508 6936 7344 7803 10404 11016 13872 15606 20808 22032 23409 31212 41616 46818 62424 75683 93636 124848 151366 187272 227049 302732 374544 454098 605464 681147 908196 1210928 1286611 1362294 1816392 2043441 2573222 2724588 3632784 3859833 4086882 5146444 5449176 6130323 7719666 8173764 10292888 10898352 11579499 12260646 15439332 16347528 20585776 21872387 23158998 24521292 30878664 32695056 34738497 43744774 46317996 49042584 61757328 65617161 69476994 87489548 92635992 98085168 104215491 131234322 138953988 174979096 185271984 196851483 208430982 262468644 277907976 349958192 393702966 416861964 524937288 555815952 590554449 787405932 833723928 1049874576 1181108898 1574811864 1667447856 1771663347 2362217796 3149623728 3543326694 4724435592 7086653388 9448871184 14173306776 28346613552