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28284193236 = 22313232893851
BaseRepresentation
bin11010010101110111…
…101000100111010100
32201000011200212222110
4122111313220213110
5430411223140421
620554340231020
72020623450525
oct322567504724
981004625873
1028284193236
1110aa4765012
12559439b470
132889a72c20
14152460a84c
15b081a1a76
hex695de89d4

28284193236 has 144 divisors (see below), whose sum is σ = 75151903680. Its totient is φ = 8228774400.

The previous prime is 28284193183. The next prime is 28284193271. The reversal of 28284193236 is 63239148282.

It is a super-2 number, since 2×282841932362 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7342711 + ... + 7346561.

It is an arithmetic number, because the mean of its divisors is an integer number (521888220).

Almost surely, 228284193236 is an apocalyptic number.

28284193236 is a gapful number since it is divisible by the number (26) 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 28284193236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37575951840).

28284193236 is an abundant number, since it is smaller than the sum of its proper divisors (46867710444).

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

28284193236 is a wasteful number, since it uses less digits than its factorization.

28284193236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3981 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 28284193236 in words is "twenty-eight billion, two hundred eighty-four million, one hundred ninety-three thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 89 92 138 156 178 267 276 299 356 529 534 598 897 1058 1068 1157 1196 1587 1794 2047 2116 2314 3174 3471 3588 3851 4094 4628 6141 6348 6877 6942 7702 8188 11553 12282 13754 13884 15404 20631 23106 24564 26611 27508 41262 46212 47081 50063 53222 79833 82524 88573 94162 100126 106444 141243 150189 159666 177146 188324 200252 265719 282486 300378 319332 342739 354292 531438 564972 600756 612053 685478 1028217 1062876 1151449 1224106 1370956 1836159 2037179 2056434 2302898 2448212 3454347 3672318 4074358 4112868 4455607 4605796 6111537 6908694 7344636 7882997 8148716 8911214 12223074 13366821 13817388 15765994 17822428 23648991 24446148 26483327 26733642 31531988 47297982 52966654 53467284 79449981 94595964 102478961 105933308 158899962 181308931 204957922 307436883 317799924 362617862 409915844 543926793 614873766 725235724 1087853586 1229747532 2175707172 2357016103 4714032206 7071048309 9428064412 14142096618 28284193236