Search a number
-
+
28089824 = 257891409
BaseRepresentation
bin110101100100…
…1110111100000
31221212002222212
41223021313200
524142333244
62442021252
7460521350
oct153116740
957762885
1028089824
1114946334
1294a7828
135a866c9
143a32b60
1526ecd9e
hex1ac9de0

28089824 has 48 divisors (see below), whose sum is σ = 63957600. Its totient is φ = 11894784.

The previous prime is 28089821. The next prime is 28089833. The reversal of 28089824 is 42898082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28089821) by changing a digit.

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, 19232 + ... + 20640.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 228089824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28089824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31978800).

28089824 is an abundant number, since it is smaller than the sum of its proper divisors (35867776).

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

28089824 is a wasteful number, since it uses less digits than its factorization.

28089824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 28089824 is about 5299.9833962004. The cubic root of 28089824 is about 303.9832631598.

The spelling of 28089824 in words is "twenty-eight million, eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1409 1424 2492 2818 2848 4984 5636 9863 9968 11272 19726 19936 22544 39452 45088 78904 125401 157808 250802 315616 501604 877807 1003208 1755614 2006416 3511228 4012832 7022456 14044912 28089824