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28112676306 = 231113316117327
BaseRepresentation
bin11010001011101001…
…010110010111010010
32200120012221220222120
4122023221112113102
5430033321120211
620525332115110
72013441543261
oct321351262722
980505856876
1028112676306
1110a16966890
125546a65a96
13286037c310
1415099205d8
15ae80c1d06
hex68ba565d2

28112676306 has 128 divisors (see below), whose sum is σ = 69307564032. Its totient is φ = 7484832000.

The previous prime is 28112676283. The next prime is 28112676307. The reversal of 28112676306 is 60367621182.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28112676307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1613815 + ... + 1631141.

It is an arithmetic number, because the mean of its divisors is an integer number (541465344).

Almost surely, 228112676306 is an apocalyptic number.

28112676306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28112676306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34653782016).

28112676306 is an abundant number, since it is smaller than the sum of its proper divisors (41194887726).

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

28112676306 is a wasteful number, since it uses less digits than its factorization.

28112676306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 28112676306 in words is "twenty-eight billion, one hundred twelve million, six hundred seventy-six thousand, three hundred six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 61 62 66 78 93 122 143 183 186 286 341 366 403 429 671 682 793 806 858 1023 1209 1342 1586 1891 2013 2046 2379 2418 3782 4026 4433 4758 5673 8723 8866 11346 13299 17327 17446 20801 24583 26169 26598 34654 41602 49166 51981 52338 62403 73749 103962 124806 147498 190597 225251 270413 381194 450502 537137 540826 571791 675753 811239 1056947 1074274 1143582 1351506 1611411 1622478 2113894 2477761 3170841 3222822 4955522 5908507 6341682 6982781 7433283 11626417 11817014 13740311 13965562 14866566 17725521 20948343 23252834 27480622 32765357 34879251 35451042 41220933 41896686 65530714 69758502 76810591 82441866 98296071 151143421 153621182 196592142 230431773 302286842 360418927 425949641 453430263 460863546 720837854 851899282 906860526 1081256781 1277848923 2162513562 2555697846 4685446051 9370892102 14056338153 28112676306