Search a number
-
+
28806280560 = 2433513336241
BaseRepresentation
bin11010110100111111…
…001111010101110000
32202100120002200011000
4122310333033111300
5432443401434220
621122230322000
72036563226151
oct326477172560
982316080130
1028806280560
1111242437a42
1256bb1b9300
132940c8c535
141573ab1928
15b38e2e390
hex6b4fcf570

28806280560 has 80 divisors (see below), whose sum is σ = 99221640480. Its totient is φ = 7681674240.

The previous prime is 28806280553. The next prime is 28806280561. The reversal of 28806280560 is 6508260882.

28806280560 is a `hidden beast` number, since 2 + 8 + 8 + 0 + 6 + 2 + 80 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28806280561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6665961 + ... + 6670280.

It is an arithmetic number, because the mean of its divisors is an integer number (1240270506).

Almost surely, 228806280560 is an apocalyptic number.

28806280560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28806280560 is an abundant number, since it is smaller than the sum of its proper divisors (70415359920).

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

28806280560 is a wasteful number, since it uses less digits than its factorization.

28806280560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336263 (or 13336251 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28806280560 in words is "twenty-eight billion, eight hundred six million, two hundred eighty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 13336241 26672482 40008723 53344964 66681205 80017446 106689928 120026169 133362410 160034892 200043615 213379856 240052338 266724820 320069784 360078507 400087230 480104676 533449640 600130845 640139568 720157014 800174460 960209352 1066899280 1200261690 1440314028 1600348920 1800392535 1920418704 2400523380 2880628056 3200697840 3600785070 4801046760 5761256112 7201570140 9602093520 14403140280 28806280560