1828 has 6 divisors (see below), whose sum is σ = 3206. Its totient is φ = 912.

The previous prime is 1823. The next prime is 1831. The reversal of 1828 is 8281.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 64 = 42^2 + 8^2 .

It is a plaindrome in base 6 and base 8.

It is a nialpdrome in base 7 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823) by changing a digit.

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 as a sum of consecutive naturals, namely, 225 + ... + 232.

It is an amenable number.

1828 is a deficient number, since it is larger than the sum of its proper divisors (1378).

1828 is a wasteful number, since it uses less digits than its factorization.

1828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 1828 is about 42.7551166529. The cubic root of 1828 is about 12.2271544220.

It can be divided in two parts, 182 and 8, that added together give a triangular number (190 = T₁₉).

The spelling of 1828 in words is "one thousand, eight hundred twenty-eight".