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28350 = 234527
BaseRepresentation
bin110111010111110
31102220000
412322332
51401400
6335130
7145440
oct67276
942800
1028350
111a333
12144a6
13cb9a
14a490
158600
hex6ebe

28350 has 60 divisors (see below), whose sum is σ = 90024. Its totient is φ = 6480.

The previous prime is 28349. The next prime is 28351. The reversal of 28350 is 5382.

28350 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (28349) and next prime (28351).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4047 + ... + 4053.

228350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012).

28350 is an abundant number, since it is smaller than the sum of its proper divisors (61674).

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

28350 is a wasteful number, since it uses less digits than its factorization.

28350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 28350 is about 168.3745824048. The cubic root of 28350 is about 30.4918907044.

It can be divided in two parts, 283 and 50, that added together give a palindrome (333).

The spelling of 28350 in words is "twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2025 2835 3150 4050 4725 5670 9450 14175 28350