Search a number
-
+
28832760 = 2334511809
BaseRepresentation
bin110110111111…
…1001111111000
32000020212010000
41231333033320
524340122020
62505553000
7500034345
oct155771770
960225100
1028832760
1115303530
1297a5760
135c86908
143b877cc
1527e8090
hex1b7f3f8

28832760 has 160 divisors (see below), whose sum is σ = 105850800. Its totient is φ = 6981120.

The previous prime is 28832743. The next prime is 28832779. The reversal of 28832760 is 6723882.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35236 + ... + 36044.

Almost surely, 228832760 is an apocalyptic number.

28832760 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 28832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925400).

28832760 is an abundant number, since it is smaller than the sum of its proper divisors (77018040).

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

28832760 is a wasteful number, since it uses less digits than its factorization.

28832760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28832760 is about 5369.6145113034. The cubic root of 28832760 is about 306.6399525144.

It can be divided in two parts, 28832 and 760, that added together give a palindrome (29592).

The spelling of 28832760 in words is "twenty-eight million, eight hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 809 810 891 990 1080 1188 1320 1485 1618 1620 1782 1980 2376 2427 2970 3236 3240 3564 3960 4045 4455 4854 5940 6472 7128 7281 8090 8899 8910 9708 11880 12135 14562 16180 17798 17820 19416 21843 24270 26697 29124 32360 35596 35640 36405 43686 44495 48540 53394 58248 65529 71192 72810 80091 87372 88990 97080 106788 109215 131058 133485 145620 160182 174744 177980 213576 218430 240273 262116 266970 291240 320364 327645 355960 400455 436860 480546 524232 533940 640728 655290 720819 800910 873720 961092 1067880 1201365 1310580 1441638 1601820 1922184 2402730 2621160 2883276 3203640 3604095 4805460 5766552 7208190 9610920 14416380 28832760