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28326880176 = 2437307311883
BaseRepresentation
bin11010011000011010…
…011110001110110000
32201010011000121110020
4122120122132032300
5431003140131201
621002503203440
72021652336330
oct323032361660
981104017406
1028326880176
1111016870381
1255a6746580
13289586a77a
14152a15d0c0
15b0bcd4a36
hex69869e3b0

28326880176 has 160 divisors (see below), whose sum is σ = 84269273088. Its totient is φ = 8031985920.

The previous prime is 28326880163. The next prime is 28326880193. The reversal of 28326880176 is 67108862382.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 32079831 + ... + 32080713.

Almost surely, 228326880176 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 28326880176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134636544).

28326880176 is an abundant number, since it is smaller than the sum of its proper divisors (55942392912).

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

28326880176 is a wasteful number, since it uses less digits than its factorization.

28326880176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 28326880176 in words is "twenty-eight billion, three hundred twenty-six million, eight hundred eighty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 311 336 614 622 883 921 933 1228 1244 1766 1842 1866 2149 2177 2456 2488 2649 3532 3684 3732 4298 4354 4912 4976 5298 6181 6447 6531 7064 7368 7464 8596 8708 10596 12362 12894 13062 14128 14736 14928 17192 17416 18543 21192 24724 25788 26124 34384 34832 37086 42384 49448 51576 52248 74172 95477 98896 103152 104496 148344 190954 271081 274613 286431 296688 381908 542162 549226 572862 668339 763816 813243 823839 1084324 1098452 1145724 1336678 1527632 1626486 1647678 1897567 1922291 2005017 2168648 2196904 2291448 2673356 3252972 3295356 3795134 3844582 4010034 4337296 4393808 4582896 5346712 5692701 5766873 6505944 6590712 7590268 7689164 8020068 10693424 11385402 11533746 13011888 13181424 15180536 15378328 16040136 22770804 23067492 30361072 30756656 32080272 45541608 46134984 84306191 91083216 92269968 168612382 252918573 337224764 505837146 590143337 674449528 1011674292 1180286674 1348899056 1770430011 2023348584 2360573348 3540860022 4046697168 4721146696 7081720044 9442293392 14163440088 28326880176