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28188 = 223529
BaseRepresentation
bin110111000011100
31102200000
412320130
51400223
6334300
7145116
oct67034
942600
1028188
111a1a6
1214390
13caa4
14a3b6
158543
hex6e1c

28188 has 36 divisors (see below), whose sum is σ = 76440. Its totient is φ = 9072.

The previous prime is 28183. The next prime is 28201. The reversal of 28188 is 88182.

28188 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28181) by changing a digit.

28188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958 + ... + 986.

228188 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 28188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220).

28188 is an abundant number, since it is smaller than the sum of its proper divisors (48252).

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

28188 is a wasteful number, since it uses less digits than its factorization.

28188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 28188 is about 167.8928229556. The cubic root of 28188 is about 30.4336999319.

It can be divided in two parts, 28 and 188, that added together give a cube (216 = 63).

The spelling of 28188 in words is "twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 2349 3132 4698 7047 9396 14094 28188