Search a number
-
+
28044 = 22321941
BaseRepresentation
bin110110110001100
31102110200
412312030
51344134
6333500
7144522
oct66614
942420
1028044
111a085
1214290
13c9c3
14a312
158499
hex6d8c

28044 has 36 divisors (see below), whose sum is σ = 76440. Its totient is φ = 8640.

The previous prime is 28031. The next prime is 28051. The reversal of 28044 is 44082.

It is a happy number.

28044 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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28044.

It is an unprimeable number.

28044 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, 664 + ... + 704.

228044 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 28044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220).

28044 is an abundant number, since it is smaller than the sum of its proper divisors (48396).

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

28044 is a wasteful number, since it uses less digits than its factorization.

28044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 28044 is about 167.4634288434. The cubic root of 28044 is about 30.3817873366.

It can be divided in two parts, 280 and 44, that added together give a square (324 = 182).

The spelling of 28044 in words is "twenty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1558 2337 3116 4674 7011 9348 14022 28044