Search a number
-
+
28287334280 = 23517295692521
BaseRepresentation
bin11010010110000011…
…100111011110001000
32201000101121110200102
4122112003213132020
5430413024144110
620554531424532
72020662242222
oct322603473610
981011543612
1028287334280
1110aa650aa17
125595455148
13288a60282a
141524bc7412
15b085c25a5
hex6960e7788

28287334280 has 128 divisors (see below), whose sum is σ = 69864444000. Its totient is φ = 10259988480.

The previous prime is 28287334253. The next prime is 28287334301. The reversal of 28287334280 is 8243378282.

It can be written as a sum of positive squares in 16 ways, for example, as 183494116 + 28103840164 = 13546^2 + 167642^2 .

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, 11219420 + ... + 11221940.

Almost surely, 228287334280 is an apocalyptic number.

28287334280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28287334280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34932222000).

28287334280 is an abundant number, since it is smaller than the sum of its proper divisors (41577109720).

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

28287334280 is a wasteful number, since it uses less digits than its factorization.

28287334280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 28287334280 in words is "twenty-eight billion, two hundred eighty-seven million, three hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 569 580 680 986 1138 1160 1972 2276 2465 2521 2845 3944 4552 4930 5042 5690 9673 9860 10084 11380 12605 16501 19346 19720 20168 22760 25210 33002 38692 42857 48365 50420 66004 73109 77384 82505 85714 96730 100840 132008 146218 165010 171428 193460 214285 280517 292436 330020 342856 365545 386920 428570 561034 584872 660040 731090 857140 1122068 1242853 1402585 1434449 1462180 1714280 2244136 2485706 2805170 2868898 2924360 4971412 5610340 5737796 6214265 7172245 9942824 11220680 11475592 12428530 14344490 24385633 24857060 28688980 41599021 48771266 49714120 57377960 83198042 97542532 121928165 166396084 195085064 207995105 243856330 332792168 415990210 487712660 707183357 831980420 975425320 1414366714 1663960840 2828733428 3535916785 5657466856 7071833570 14143667140 28287334280