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28668096 = 263271701
BaseRepresentation
bin110110101011…
…1000011000000
31222221111020100
41231113003000
524314334341
62502242400
7465450312
oct155270300
958844210
1028668096
1115200846
129726400
135c29992
143b437b2
1527b43b6
hex1b570c0

28668096 has 84 divisors (see below), whose sum is σ = 83448144. Its totient is φ = 9408000.

The previous prime is 28668083. The next prime is 28668113. The reversal of 28668096 is 69086682.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40546 + ... + 41246.

Almost surely, 228668096 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 28668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41724072).

28668096 is an abundant number, since it is smaller than the sum of its proper divisors (54780048).

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

28668096 is a wasteful number, since it uses less digits than its factorization.

28668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 28668096 is about 5354.2596126822. The cubic root of 28668096 is about 306.0550970890.

It can be divided in two parts, 2866809 and 6, that added together give a triangular number (2866815 = T2394).

The spelling of 28668096 in words is "twenty-eight million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 701 852 1136 1278 1402 1704 2103 2272 2556 2804 3408 4206 4544 5112 5608 6309 6816 8412 10224 11216 12618 13632 16824 20448 22432 25236 33648 40896 44864 49771 50472 67296 99542 100944 134592 149313 199084 201888 298626 398168 403776 447939 597252 796336 895878 1194504 1592672 1791756 2389008 3185344 3583512 4778016 7167024 9556032 14334048 28668096