Search a number
-
+
28684260 = 22335112439
BaseRepresentation
bin110110101101…
…0111111100100
31222222022102000
41231122333210
524320344020
62502445300
7465545403
oct155327744
958868360
1028684260
1115211a00
129733830
135c34147
143b4963a
1527b9090
hex1b5afe4

28684260 has 144 divisors (see below), whose sum is σ = 98313600. Its totient is φ = 6937920.

The previous prime is 28684237. The next prime is 28684261. The reversal of 28684260 is 6248682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28684261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65121 + ... + 65559.

Almost surely, 228684260 is an apocalyptic number.

28684260 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 28684260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49156800).

28684260 is an abundant number, since it is smaller than the sum of its proper divisors (69629340).

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

28684260 is a wasteful number, since it uses less digits than its factorization.

28684260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28684260 is about 5355.7688523684. The cubic root of 28684260 is about 306.1126075367.

The spelling of 28684260 in words is "twenty-eight million, six hundred eighty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 439 484 495 540 594 605 660 726 878 990 1089 1188 1210 1317 1452 1485 1756 1815 1980 2178 2195 2420 2634 2970 3267 3630 3951 4356 4390 4829 5268 5445 5940 6534 6585 7260 7902 8780 9658 10890 11853 13068 13170 14487 15804 16335 19316 19755 21780 23706 24145 26340 28974 32670 39510 43461 47412 48290 53119 57948 59265 65340 72435 79020 86922 96580 106238 118530 130383 144870 159357 173844 212476 217305 237060 260766 265595 289740 318714 434610 478071 521532 531190 637428 651915 796785 869220 956142 1062380 1303830 1434213 1593570 1912284 2390355 2607660 2868426 3187140 4780710 5736852 7171065 9561420 14342130 28684260