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22728 = 233947
BaseRepresentation
bin101100011001000
31011011210
411203020
51211403
6253120
7123156
oct54310
934153
1022728
1116092
12111a0
13a464
1483d6
156b03
hex58c8

22728 has 16 divisors (see below), whose sum is σ = 56880. Its totient is φ = 7568.

The previous prime is 22727. The next prime is 22739. The reversal of 22728 is 82722.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (22721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 450 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (3555).

222728 is an apocalyptic number.

It is an amenable number.

22728 is an abundant number, since it is smaller than the sum of its proper divisors (34152).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440).

22728 is a wasteful number, since it uses less digits than its factorization.

22728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 952 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 22728 is about 150.7580843603. The cubic root of 22728 is about 28.3261188860.

The spelling of 22728 in words is "twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 947 1894 2841 3788 5682 7576 11364 22728