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28820555097282 = 23313229310778399
BaseRepresentation
bin1101000110110010011101…
…11100101110010011000010
310210001012220001000210002000
412203121032330232103002
512234143444101103112
6141143551421404430
76033134136211404
oct643311674562302
9123035801023060
1028820555097282
119201802002873
123295749709716
1313109c7535800
14718ccab62b74
1534ea4e9577dc
hex1a364ef2e4c2

28820555097282 has 96 divisors (see below), whose sum is σ = 69587937216000. Its totient is φ = 8837596542528.

The previous prime is 28820555097253. The next prime is 28820555097287. The reversal of 28820555097282 is 28279055502882.

28820555097282 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 0 + 5 + 550 + 9 + 72 + 8 + 2 = 666.

It is a super-2 number, since 2×288205550972822 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28820555097287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715282 + ... + 8063117.

It is an arithmetic number, because the mean of its divisors is an integer number (724874346000).

Almost surely, 228820555097282 is an apocalyptic number.

28820555097282 is an abundant number, since it is smaller than the sum of its proper divisors (40767382118718).

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

28820555097282 is a wasteful number, since it uses less digits than its factorization.

28820555097282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778729 (or 10778710 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 28820555097282 in words is "twenty-eight trillion, eight hundred twenty billion, five hundred fifty-five million, ninety-seven thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 293 338 351 507 586 702 879 1014 1521 1758 2637 3042 3809 4563 5274 7618 7911 9126 11427 15822 22854 34281 49517 68562 99034 102843 148551 205686 297102 445653 891306 1336959 2673918 10778399 21556798 32335197 64670394 97005591 140119187 194011182 280238374 291016773 420357561 582033546 840715122 1261072683 1821549431 2522145366 3158070907 3643098862 3783218049 5464648293 6316141814 7566436098 9474212721 10929296586 16393944879 18948425442 28422638163 32787889758 41054921791 49181834637 56845276326 82109843582 85267914489 98363669274 123164765373 170535828978 246329530746 369494296119 533713983283 738988592238 1067427966566 1108482888357 1601141949849 2216965776714 3202283899698 4803425849547 9606851699094 14410277548641 28820555097282