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28382350158 = 2338313194801
BaseRepresentation
bin11010011011101110…
…000100101101001110
32201021000101202222000
4122123232010231032
5431111340201113
621012204133130
72023224665361
oct323356045516
981230352860
1028382350158
1111045107838
1256012371a6
1328a41bc846
14153367c0d8
15b11ae0373
hex69bb84b4e

28382350158 has 64 divisors (see below), whose sum is σ = 63893491200. Its totient is φ = 9337766400.

The previous prime is 28382350147. The next prime is 28382350193. The reversal of 28382350158 is 85105328382.

28382350158 is a `hidden beast` number, since 283 + 8 + 2 + 350 + 15 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5909358 + ... + 5914158.

It is an arithmetic number, because the mean of its divisors is an integer number (998335800).

Almost surely, 228382350158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28382350158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31946745600).

28382350158 is an abundant number, since it is smaller than the sum of its proper divisors (35511141042).

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

28382350158 is a wasteful number, since it uses less digits than its factorization.

28382350158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 28382350158 in words is "twenty-eight billion, three hundred eighty-two million, three hundred fifty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1319 1494 2241 2638 3957 4482 4801 7914 9602 11871 14403 23742 28806 35613 43209 71226 86418 109477 129627 218954 259254 328431 398483 656862 796966 985293 1195449 1970586 2390898 2955879 3586347 5911758 6332519 7172694 10759041 12665038 18997557 21518082 37995114 56992671 113985342 170978013 341956026 525599077 1051198154 1576797231 3153594462 4730391693 9460783386 14191175079 28382350158