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28182 = 2371161
BaseRepresentation
bin110111000010110
31102122210
412320112
51400212
6334250
7145110
oct67026
942583
1028182
111a1a0
1214386
13ca9b
14a3b0
15853c
hex6e16

28182 has 32 divisors (see below), whose sum is σ = 71424. Its totient is φ = 7200.

The previous prime is 28181. The next prime is 28183.

28182 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (28181) and next prime (28183).

It is a super-3 number, since 3×281823 = 67148557333704, which contains 333 as substring.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28181) 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, 432 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

228182 is an apocalyptic number.

28182 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 28182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712).

28182 is an abundant number, since it is smaller than the sum of its proper divisors (43242).

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

28182 is a wasteful number, since it uses less digits than its factorization.

28182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its digits is 256, while the sum is 21.

The square root of 28182 is about 167.8749534624. The cubic root of 28182 is about 30.4315404414.

Adding to 28182 its sum of digits (21), we get a triangular number (28203 = T237).

It can be divided in two parts, 281 and 82, that added together give a palindrome (363).

The spelling of 28182 in words is "twenty-eight thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 61 66 77 122 154 183 231 366 427 462 671 854 1281 1342 2013 2562 4026 4697 9394 14091 28182