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28791355648 = 281123129983
BaseRepresentation
bin11010110100000110…
…010011100100000000
32202022112000102000111
4122310012103210000
5432431041340043
621120534401104
72036322325246
oct326406234400
982275012014
1028791355648
1111234a73700
1256b6200194
13293ab65123
141571b08796
15b3798209d
hex6b4193900

28791355648 has 108 divisors (see below), whose sum is σ = 65209682944. Its totient is φ = 12664396800.

The previous prime is 28791355631. The next prime is 28791355687. The reversal of 28791355648 is 84655319782.

It is a junction number, because it is equal to n+sod(n) for n = 28791355592 and 28791355601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945265 + ... + 975247.

Almost surely, 228791355648 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 28791355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32604841472).

28791355648 is an abundant number, since it is smaller than the sum of its proper divisors (36418327296).

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

28791355648 is a wasteful number, since it uses less digits than its factorization.

28791355648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30052 (or 30027 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 58.

The spelling of 28791355648 in words is "twenty-eight billion, seven hundred ninety-one million, three hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 242 248 256 341 352 484 496 682 704 968 992 1364 1408 1936 1984 2728 2816 3751 3872 3968 5456 7502 7744 7936 10912 15004 15488 21824 29983 30008 30976 43648 59966 60016 87296 119932 120032 239864 240064 329813 479728 480128 659626 929473 959456 960256 1319252 1858946 1918912 2638504 3627943 3717892 3837824 5277008 7255886 7435784 7675648 10224203 10554016 14511772 14871568 20448406 21108032 29023544 29743136 40896812 42216064 58047088 59486272 81793624 84432128 112466233 116094176 118972544 163587248 224932466 232188352 237945088 327174496 449864932 464376704 654348992 899729864 928753408 1308697984 1799459728 2617395968 3598919456 7197838912 14395677824 28791355648