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2728 = 231131

2728 has 16 divisors (see below), whose sum is σ = 5760. Its totient is φ = 1200.

The previous prime is 2719. The next prime is 2729. The reversal of 2728 is 8272.

It is a nialpdrome in base 4, base 14 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2729) by changing a digit.

It is a Kaprekar number, because its square (7441984) can be partitioned into two parts whose sum is 2728.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

22728 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 2728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880).

2728 is an abundant number, since it is smaller than the sum of its proper divisors (3032).

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

2728 is a wasteful number, since it uses less digits than its factorization.

2728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 44 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 2728 is about 52.2302594288. The cubic root of 2728 is about 13.9727360556.

It can be divided in two parts, 27 and 28, that added together give a palindrome (55).

The spelling of 2728 in words is "two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728