Search a number
-
+
28843560 = 23335171571
BaseRepresentation
bin110111000000…
…1111000101000
32000021101221000
41232001320220
524340443220
62510115000
7500111004
oct156017050
960241830
1028843560
1115310659
1297aba60
135c8b7c5
143b8b704
1527eb390
hex1b81e28

28843560 has 128 divisors (see below), whose sum is σ = 101865600. Its totient is φ = 7234560.

The previous prime is 28843559. The next prime is 28843597. The reversal of 28843560 is 6534882.

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

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 31 ways as a sum of consecutive naturals, for example, 17575 + ... + 19145.

It is an arithmetic number, because the mean of its divisors is an integer number (795825).

Almost surely, 228843560 is an apocalyptic number.

28843560 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 28843560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50932800).

28843560 is an abundant number, since it is smaller than the sum of its proper divisors (73022040).

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

28843560 is a wasteful number, since it uses less digits than its factorization.

28843560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28843560 is about 5370.6200759316. The cubic root of 28843560 is about 306.6782341782.

It can be divided in two parts, 28843 and 560, that added together give a triangular number (29403 = T242).

The spelling of 28843560 in words is "twenty-eight million, eight hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1571 1836 2040 2295 3060 3142 3672 4590 4713 6120 6284 7855 9180 9426 12568 14139 15710 18360 18852 23565 26707 28278 31420 37704 42417 47130 53414 56556 62840 70695 80121 84834 94260 106828 113112 133535 141390 160242 169668 188520 212085 213656 240363 267070 282780 320484 339336 400605 424170 480726 534140 565560 640968 721089 801210 848340 961452 1068280 1201815 1442178 1602420 1696680 1922904 2403630 2884356 3204840 3605445 4807260 5768712 7210890 9614520 14421780 28843560