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28317148728 = 23311373797649
BaseRepresentation
bin11010010111110101…
…010110011000111000
32201002110201012102020
4122113311112120320
5430443142224403
621001514434440
72021503535631
oct322765263070
981073635366
1028317148728
1111011323a60
1255a3432a20
13289384120b
141528b48888
15b0b011453
hex697d56638

28317148728 has 128 divisors (see below), whose sum is σ = 79535520000. Its totient is φ = 8325918720.

The previous prime is 28317148711. The next prime is 28317148753. The reversal of 28317148728 is 82784171382.

It is a Cunningham number, because it is equal to 1682772-1.

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 31 ways as a sum of consecutive naturals, for example, 3698248 + ... + 3705896.

It is an arithmetic number, because the mean of its divisors is an integer number (621371250).

Almost surely, 228317148728 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 28317148728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767760000).

28317148728 is an abundant number, since it is smaller than the sum of its proper divisors (51218371272).

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

28317148728 is a wasteful number, since it uses less digits than its factorization.

28317148728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085 (or 8081 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The spelling of 28317148728 in words is "twenty-eight billion, three hundred seventeen million, one hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 379 407 444 758 814 888 1137 1221 1516 1628 2274 2442 3032 3256 4169 4548 4884 7649 8338 9096 9768 12507 14023 15298 16676 22947 25014 28046 30596 33352 42069 45894 50028 56092 61192 84138 84139 91788 100056 112184 154253 168276 168278 183576 252417 283013 308506 336552 336556 462759 504834 566026 617012 673112 849039 925518 1009668 1132052 1234024 1698078 1851036 2019336 2264104 2898971 3113143 3396156 3702072 5797942 6226286 6792312 8696913 9339429 11595884 12452572 17393826 18678858 23191768 24905144 31888681 34787652 37357716 63777362 69575304 74715432 95666043 107261927 127554724 191332086 214523854 255109448 321785781 382664172 429047708 643571562 765328344 858095416 1179881197 1287143124 2359762394 2574286248 3539643591 4719524788 7079287182 9439049576 14158574364 28317148728