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28918002888 = 23331953132949
BaseRepresentation
bin11010111011101001…
…011011010011001000
32202122100022202101000
4122323221123103020
5433211002043023
621141301055000
72042420653215
oct327351332310
982570282330
1028918002888
111129a505645
1257306b7460
13295b178818
141584874b0c
15b43b4c243
hex6bba5b4c8

28918002888 has 128 divisors (see below), whose sum is σ = 86151600000. Its totient is φ = 8959631616.

The previous prime is 28918002887. The next prime is 28918002913. The reversal of 28918002888 is 88820081982.

28918002888 is a `hidden beast` number, since 289 + 1 + 80 + 0 + 288 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28918002887) by changing a digit.

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, 151038 + ... + 283986.

It is an arithmetic number, because the mean of its divisors is an integer number (673059375).

Almost surely, 228918002888 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 28918002888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43075800000).

28918002888 is an abundant number, since it is smaller than the sum of its proper divisors (57233597112).

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

28918002888 is a wasteful number, since it uses less digits than its factorization.

28918002888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133036 (or 133026 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 28918002888 in words is "twenty-eight billion, nine hundred eighteen million, two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 106 108 114 152 159 171 212 216 228 318 342 424 456 477 513 636 684 954 1007 1026 1272 1368 1431 1908 2014 2052 2862 3021 3816 4028 4104 5724 6042 8056 9063 11448 12084 18126 24168 27189 36252 54378 72504 108756 132949 217512 265898 398847 531796 797694 1063592 1196541 1595388 2393082 2526031 3190776 3589623 4786164 5052062 7046297 7179246 7578093 9572328 10104124 14092594 14358492 15156186 20208248 21138891 22734279 28185188 28716984 30312372 42277782 45468558 56370376 60624744 63416673 68202837 84555564 90937116 126833346 133879643 136405674 169111128 181874232 190250019 253666692 267759286 272811348 380500038 401638929 507333384 535518572 545622696 761000076 803277858 1071037144 1204916787 1522000152 1606555716 2409833574 3213111432 3614750361 4819667148 7229500722 9639334296 14459001444 28918002888