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28783265364 = 22327892515113
BaseRepresentation
bin11010110011100111…
…011100011001010100
32202021221210101020100
4122303213130121110
5432422003442424
621120045134100
72036163501360
oct326347343124
982257711210
1028783265364
1111230448317
1256b355a330
132939291889
141570a002a0
15b36dd4dc9
hex6b39dc654

28783265364 has 144 divisors (see below), whose sum is σ = 84437458560. Its totient is φ = 8097408000.

The previous prime is 28783265363. The next prime is 28783265417. The reversal of 28783265364 is 46356238782.

28783265364 is a `hidden beast` number, since 2 + 8 + 7 + 83 + 26 + 536 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28783265364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28783265363) 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, 5626872 + ... + 5631984.

It is an arithmetic number, because the mean of its divisors is an integer number (586371240).

Almost surely, 228783265364 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 28783265364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218729280).

28783265364 is an abundant number, since it is smaller than the sum of its proper divisors (55654193196).

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

28783265364 is a wasteful number, since it uses less digits than its factorization.

28783265364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5465 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 28783265364 in words is "twenty-eight billion, seven hundred eighty-three million, two hundred sixty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 251 252 267 356 502 534 623 753 801 1004 1068 1246 1506 1602 1757 1869 2259 2492 3012 3204 3514 3738 4518 5113 5271 5607 7028 7476 9036 10226 10542 11214 15339 15813 20452 21084 22339 22428 30678 31626 35791 44678 46017 61356 63252 67017 71582 89356 92034 107373 134034 143164 156373 184068 201051 214746 268068 312746 322119 402102 429492 455057 469119 625492 644238 804204 910114 938238 1283363 1288476 1365171 1407357 1820228 1876476 2566726 2730342 2814714 3185399 3850089 4095513 5133452 5460684 5629428 6370798 7700178 8191026 8983541 9556197 11550267 12741596 15400356 16382052 17967082 19112394 23100534 26950623 28668591 35934164 38224788 46201068 53901246 57337182 80851869 107802492 114219307 114674364 161703738 228438614 323407476 342657921 456877228 685315842 799535149 1027973763 1370631684 1599070298 2055947526 2398605447 3198140596 4111895052 4797210894 7195816341 9594421788 14391632682 28783265364