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28074065328 = 24322311375013
BaseRepresentation
bin11010001001010110…
…000011110110110000
32200110112022021200100
4122021112003312300
5424443430042303
620521432352400
72012462421651
oct321126036660
980415267610
1028074065328
11109a7094891
125535b45700
132855380a9a
14150474d528
15ae49e68a3
hex689583db0

28074065328 has 120 divisors (see below), whose sum is σ = 82711036512. Its totient is φ = 8871819264.

The previous prime is 28074065311. The next prime is 28074065359. The reversal of 28074065328 is 82356047082.

28074065328 is a `hidden beast` number, since 280 + 7 + 40 + 6 + 5 + 328 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336750 + ... + 411762.

Almost surely, 228074065328 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 28074065328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41355518256).

28074065328 is an abundant number, since it is smaller than the sum of its proper divisors (54636971184).

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

28074065328 is a wasteful number, since it uses less digits than its factorization.

28074065328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75163 (or 75154 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28074065328 in words is "twenty-eight billion, seventy-four million, sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 113 138 144 184 207 226 276 339 368 414 452 552 678 828 904 1017 1104 1356 1656 1808 2034 2599 2712 3312 4068 5198 5424 7797 8136 10396 15594 16272 20792 23391 31188 41584 46782 62376 75013 93564 124752 150026 187128 225039 300052 374256 450078 600104 675117 900156 1200208 1350234 1725299 1800312 2700468 3450598 3600624 5175897 5400936 6901196 8476469 10351794 10801872 13802392 15527691 16952938 20703588 25429407 27604784 31055382 33905876 41407176 50858814 62110764 67811752 76288221 82814352 101717628 124221528 135623504 152576442 194958787 203435256 248443056 305152884 389917574 406870512 584876361 610305768 779835148 1169752722 1220611536 1559670296 1754629083 2339505444 3119340592 3509258166 4679010888 7018516332 9358021776 14037032664 28074065328