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28831372164 = 223271371934327
BaseRepresentation
bin11010110110011110…
…111101001110000100
32202102022022110100200
4122312132331032010
5433021312402124
621124524210500
72040316422420
oct326636751604
982368273320
1028831372164
1111255615701
125707699a30
13294623633a
141577163b80
15b3b238bc9
hex6b67bd384

28831372164 has 144 divisors (see below), whose sum is σ = 84352789248. Its totient is φ = 8133156864.

The previous prime is 28831372147. The next prime is 28831372181. The reversal of 28831372164 is 46127313882.

It is an interprime number because it is at equal distance from previous prime (28831372147) and next prime (28831372181).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6660969 + ... + 6665295.

Almost surely, 228831372164 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 28831372164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42176394624).

28831372164 is an abundant number, since it is smaller than the sum of its proper divisors (55521417084).

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

28831372164 is a wasteful number, since it uses less digits than its factorization.

28831372164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4669 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 28831372164 in words is "twenty-eight billion, eight hundred thirty-one million, three hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 193 252 274 386 411 548 579 772 822 959 1158 1233 1351 1644 1737 1918 2316 2466 2702 2877 3474 3836 4053 4327 4932 5404 5754 6948 8106 8631 8654 11508 12159 12981 16212 17262 17308 24318 25962 26441 30289 34524 38943 48636 51924 52882 60578 77886 79323 90867 105764 121156 155772 158646 181734 185087 237969 272601 317292 363468 370174 475938 545202 555261 592799 740348 835111 951876 1090404 1110522 1185598 1665783 1670222 1778397 2221044 2371196 2505333 3331566 3340444 3556794 4149593 5010666 5335191 5845777 6663132 7113588 7515999 8299186 10021332 10670382 11691554 12448779 15031998 16598372 17537331 21340764 23383108 24897558 30063996 35074662 37346337 49795116 52611993 70149324 74692674 105223986 114410207 149385348 210447972 228820414 343230621 457640828 686461242 800871449 1029691863 1372922484 1601742898 2059383726 2402614347 3203485796 4118767452 4805228694 7207843041 9610457388 14415686082 28831372164