Search a number
-
+
28865256882 = 2371126418861
BaseRepresentation
bin11010111000100000…
…001101110110110010
32202111200001222110020
4122320200031312302
5433104001210012
621132134344310
72041210430610
oct327040156662
982450058406
1028865256882
1111272759800
125716abb096
13295026b577
14157b8646b0
15b3e1cda8c
hex6b880ddb2

28865256882 has 96 divisors (see below), whose sum is σ = 72642310272. Its totient is φ = 7484928000.

The previous prime is 28865256877. The next prime is 28865256911.

28865256882 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3253132 + ... + 3261992.

It is an arithmetic number, because the mean of its divisors is an integer number (756690732).

Almost surely, 228865256882 is an apocalyptic number.

28865256882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28865256882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36321155136).

28865256882 is an abundant number, since it is smaller than the sum of its proper divisors (43777053390).

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

28865256882 is a wasteful number, since it uses less digits than its factorization.

28865256882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9536 (or 9525 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 60.

The spelling of 28865256882 in words is "twenty-eight billion, eight hundred sixty-five million, two hundred fifty-six thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 641 726 847 1282 1694 1923 2541 3846 4487 5082 7051 8861 8974 13461 14102 17722 21153 26583 26922 42306 49357 53166 62027 77561 97471 98714 124054 148071 155122 186081 194942 232683 292413 296142 372162 465366 542927 584826 682297 1072181 1085854 1364594 1628781 2046891 2144362 3216543 3257562 4093782 5679901 6433086 7505267 11359802 15010534 17039703 22515801 34079406 39759307 45031602 62478911 79518614 119277921 124957822 187436733 238555842 374873466 437352377 687268021 874704754 1312057131 1374536042 2061804063 2624114262 4123608126 4810876147 9621752294 14432628441 28865256882