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28674 = 23559
BaseRepresentation
bin111000000000010
31110100000
413000002
51404144
6340430
7146412
oct70002
943300
1028674
111a5a8
1214716
1310089
14a642
158769
hex7002

28674 has 24 divisors (see below), whose sum is σ = 65520. Its totient is φ = 9396.

The previous prime is 28669. The next prime is 28687. The reversal of 28674 is 47682.

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

Its product of digits (2688) is a multiple of the sum of its prime divisors (64).

It is a Curzon number.

It is a nialpdrome in base 9 and base 14.

It is an unprimeable number.

28674 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, 457 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

28674 is a Friedman number, since it can be written as 7*(8-4)^6+2, using all its digits and the basic arithmetic operations.

228674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760).

28674 is an abundant number, since it is smaller than the sum of its proper divisors (36846).

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

28674 is an equidigital number, since it uses as much as digits as its factorization.

28674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 28674 is about 169.3339895000. Note that the first 3 decimals coincide. The cubic root of 28674 is about 30.6076105638.

The spelling of 28674 in words is "twenty-eight thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 1062 1593 3186 4779 9558 14337 28674