2828 has 12 divisors (see below), whose sum is σ = 5712. Its totient is φ = 1200.

The previous prime is 2819. The next prime is 2833. The reversal of 2828 is 8282.

2828 = 17^{2} + 18^{2} + ... + 23^{2}.

2828 is an admirable number.

2828 is an undulating number in base 10.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is an unprimeable number.

2828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 78.

It is an arithmetic number, because the mean of its divisors is an integer number (476).

2^{2828} is an apocalyptic number.

2828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (2856).

2828 is a wasteful number, since it uses less digits than its factorization.

2828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

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

The square root of 2828 is about 53.1789432012. The cubic root of 2828 is about 14.1414237133.

The spelling of 2828 in words is "two thousand, eight hundred twenty-eight".

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