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28028 = 22721113
BaseRepresentation
bin110110101111100
31102110002
412311330
51344103
6333432
7144500
oct66574
942402
1028028
111a070
1214278
13c9b0
14a300
158488
hex6d7c

28028 has 36 divisors (see below), whose sum is σ = 67032. Its totient is φ = 10080.

The previous prime is 28027. The next prime is 28031. The reversal of 28028 is 82082.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2150 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (1862).

228028 is an apocalyptic number.

28028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33516).

28028 is an abundant number, since it is smaller than the sum of its proper divisors (39004).

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

28028 is a wasteful number, since it uses less digits than its factorization.

28028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 28028 is about 167.4156504034. The cubic root of 28028 is about 30.3760083099.

Subtracting from 28028 its product of nonzero digits (256), we obtain a palindrome (27772).

The spelling of 28028 in words is "twenty-eight thousand, twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028