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28305382482 = 232131314612003
BaseRepresentation
bin11010010111001000…
…011101110001010010
32201001122120102011100
4122113020131301102
5430432134214412
621000414325230
72021301531666
oct322710356122
981048512140
1028305382482
1111005717893
12559b4b9816
132891281740
1415273648a6
15b09e89edc
hex69721dc52

28305382482 has 96 divisors (see below), whose sum is σ = 66727717056. Its totient is φ = 8619811200.

The previous prime is 28305382471. The next prime is 28305382537. The reversal of 28305382482 is 28428350382.

It is a happy number.

28305382482 is a `hidden beast` number, since 2 + 8 + 30 + 538 + 2 + 4 + 82 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14130493 + ... + 14132495.

It is an arithmetic number, because the mean of its divisors is an integer number (695080386).

Almost surely, 228305382482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28305382482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33363858528).

28305382482 is an abundant number, since it is smaller than the sum of its proper divisors (38422334574).

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

28305382482 is a wasteful number, since it uses less digits than its factorization.

28305382482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28305382482 in words is "twenty-eight billion, three hundred five million, three hundred eighty-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 461 786 922 1179 1383 1703 2003 2358 2766 3406 4006 4149 5109 5993 6009 8298 10218 11986 12018 15327 17979 18027 26039 30654 35958 36054 52078 53937 60391 78117 107874 120782 156234 181173 234351 262393 362346 468702 524786 543519 785083 787179 923383 1087038 1570166 1574358 1846766 2355249 2361537 2770149 3411109 4710498 4723074 5540298 6822218 7065747 8310447 10233327 12003979 14131494 16620894 20466654 24007958 30699981 36011937 61399962 72023874 108035811 120963173 216071622 241926346 362889519 725779038 1088668557 1572521249 2177337114 3145042498 4717563747 9435127494 14152691241 28305382482