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28769875398 = 232114115722573
BaseRepresentation
bin11010110010110100…
…010111010111000110
32202021000121002122200
4122302310113113012
5432410042003043
621114450135330
72035641622515
oct326264272706
982230532580
1028769875398
1111223932230
1256aab81546
132936584014
14156cd1667c
15b35b3c7d3
hex6b2d175c6

28769875398 has 96 divisors (see below), whose sum is σ = 70106897952. Its totient is φ = 8450956800.

The previous prime is 28769875397. The next prime is 28769875429. The reversal of 28769875398 is 89357896782.

28769875398 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 9 + 87 + 539 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28769875391) 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, 1263240 + ... + 1285812.

It is an arithmetic number, because the mean of its divisors is an integer number (730280187).

Almost surely, 228769875398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28769875398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35053448976).

28769875398 is an abundant number, since it is smaller than the sum of its proper divisors (41337022554).

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

28769875398 is a wasteful number, since it uses less digits than its factorization.

28769875398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22790 (or 22787 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 28769875398 in words is "twenty-eight billion, seven hundred sixty-nine million, eight hundred seventy-five thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 157 198 246 314 369 451 471 738 902 942 1353 1413 1727 2706 2826 3454 4059 5181 6437 8118 10362 12874 15543 19311 22573 31086 38622 45146 57933 67719 70807 115866 135438 141614 203157 212421 248303 406314 424842 496606 637263 744909 925493 1274526 1489818 1850986 2234727 2776479 3543961 4469454 5552958 7087922 8329437 10180423 10631883 16658874 20360846 21263766 30541269 31895649 38983571 61082538 63791298 77967142 91623807 116950713 145302401 183247614 233901426 290604802 350852139 435907203 701704278 871814406 1307721609 1598326411 2615443218 3196652822 4794979233 9589958466 14384937699 28769875398