Search a number
-
+
28563680 = 2551671069
BaseRepresentation
bin110110011110…
…1100011100000
31222202012000002
41230331203200
524303014210
62500115132
7464534015
oct154754340
958665002
1028563680
111513a352
129695aa8
135bc12b2
143b1770c
1527934a5
hex1b3d8e0

28563680 has 48 divisors (see below), whose sum is σ = 67949280. Its totient is φ = 11346432.

The previous prime is 28563673. The next prime is 28563719. The reversal of 28563680 is 8636582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26186 + ... + 27254.

It is an arithmetic number, because the mean of its divisors is an integer number (1415610).

Almost surely, 228563680 is an apocalyptic number.

28563680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 5344×5345.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33974640).

28563680 is an abundant number, since it is smaller than the sum of its proper divisors (39385600).

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

28563680 is a wasteful number, since it uses less digits than its factorization.

28563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 28563680 is about 5344.4999766115. The cubic root of 28563680 is about 305.6830699861.

The spelling of 28563680 in words is "twenty-eight million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 167 334 668 835 1069 1336 1670 2138 2672 3340 4276 5344 5345 6680 8552 10690 13360 17104 21380 26720 34208 42760 85520 171040 178523 357046 714092 892615 1428184 1785230 2856368 3570460 5712736 7140920 14281840 28563680