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28769896782 = 23211229345083
BaseRepresentation
bin11010110010110100…
…011100100101001110
32202021000122011222200
4122302310130211032
5432410043144112
621114450422330
72035642042044
oct326264344516
982230564880
1028769896782
1111223947300
1256aab919a6
132936590983
14156cd20394
15b35b43cdc
hex6b2d1c94e

28769896782 has 72 divisors (see below), whose sum is σ = 68752108152. Its totient is φ = 8688203040.

The previous prime is 28769896751. The next prime is 28769896819.

28769896782 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 28769896782.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 615613 + ... + 660695.

It is an arithmetic number, because the mean of its divisors is an integer number (954890391).

Almost surely, 228769896782 is an apocalyptic number.

28769896782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28769896782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34376054076).

28769896782 is an abundant number, since it is smaller than the sum of its proper divisors (39982211370).

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

28769896782 is a wasteful number, since it uses less digits than its factorization.

28769896782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45406 (or 45392 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 28769896782 in words is "twenty-eight billion, seven hundred sixty-nine million, eight hundred ninety-six thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 293 363 586 726 879 1089 1758 2178 2637 3223 5274 6446 9669 19338 29007 35453 45083 58014 70906 90166 106359 135249 212718 270498 319077 405747 495913 638154 811494 991826 1487739 2975478 4463217 5455043 8926434 10910086 13209319 16365129 26418638 32730258 39627957 49095387 79255914 98190774 118883871 145302509 237767742 290605018 435907527 871815054 1307722581 1598327599 2615445162 3196655198 4794982797 9589965594 14384948391 28769896782