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28132756806 = 23721152316633
BaseRepresentation
bin11010001100110101…
…111100110101000110
32200121121202010020210
4122030311330311012
5430103441204211
620531330340250
72014104326100
oct321465746506
980547663223
1028132756806
1110a27231640
12555172a686
13286459027b
14150c46a570
15ae9c3b9a6
hex68cd7cd46

28132756806 has 96 divisors (see below), whose sum is σ = 71542700928. Its totient is φ = 7292799360.

The previous prime is 28132756801. The next prime is 28132756807. The reversal of 28132756806 is 60865723182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28132756801) 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 47 ways as a sum of consecutive naturals, for example, 1683066 + ... + 1699698.

It is an arithmetic number, because the mean of its divisors is an integer number (745236468).

Almost surely, 228132756806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28132756806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35771350464).

28132756806 is an abundant number, since it is smaller than the sum of its proper divisors (43409944122).

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

28132756806 is a wasteful number, since it uses less digits than its factorization.

28132756806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 28132756806 in words is "twenty-eight billion, one hundred thirty-two million, seven hundred fifty-six thousand, eight hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 523 539 1046 1078 1569 1617 3138 3234 3661 5753 7322 10983 11506 16633 17259 21966 25627 33266 34518 40271 49899 51254 76881 80542 99798 116431 120813 153762 182963 232862 241626 281897 349293 365926 548889 563794 698586 815017 845691 1097778 1280741 1630034 1691382 2445051 2561482 3842223 4890102 7684446 8699059 8965187 17398118 17930374 26097177 26895561 52194354 53791122 60893413 95689649 121786826 182680239 191379298 287068947 365360478 426253891 574137894 669827543 852507782 1278761673 1339655086 2009482629 2557523346 4018965258 4688792801 9377585602 14066378403 28132756806