Search a number
-
+
28305585 = 3357211389
BaseRepresentation
bin110101111111…
…0100010110001
31222021001222000
41223332202301
524221234320
62450404213
7462410400
oct153764261
958231860
1028305585
1114a83450
129590669
135b30989
143a8b637
152741c90
hex1afe8b1

28305585 has 96 divisors (see below), whose sum is σ = 64022400. Its totient is φ = 11733120.

The previous prime is 28305583. The next prime is 28305593. The reversal of 28305585 is 58550382.

It is not a de Polignac number, because 28305585 - 21 = 28305583 is a prime.

It is a super-3 number, since 3×283055853 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (28305581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72571 + ... + 72959.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 228305585 is an apocalyptic number.

It is an amenable number.

28305585 is an abundant number, since it is smaller than the sum of its proper divisors (35716815).

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

28305585 is a wasteful number, since it uses less digits than its factorization.

28305585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 28305585 is about 5320.2993336841. The cubic root of 28305585 is about 304.7595883865.

The spelling of 28305585 in words is "twenty-eight million, three hundred five thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 389 441 495 539 693 735 945 1155 1167 1323 1485 1617 1945 2079 2205 2695 2723 3465 3501 4279 4851 5835 6615 8085 8169 10395 10503 12837 13615 14553 17505 19061 21395 24255 24507 29953 38511 40845 52515 57183 64185 72765 73521 89859 95305 115533 122535 149765 171549 192555 209671 269577 285915 367605 449295 514647 577665 629013 808731 857745 1048355 1347885 1887039 2573235 3145065 4043655 5661117 9435195 28305585