28082838 has 32 divisors (see below), whose sum is σ = 66263040. Its totient is φ = 7764480.

The previous prime is 28082837. The next prime is 28082867. The reversal of 28082838 is 83828082.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 28082796 and 28082805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28082833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9483 + ... + 12086.

It is an arithmetic number, because the mean of its divisors is an integer number (2070720).

Almost surely, 2^28082838 is an apocalyptic number.

28082838 is an abundant number, since it is smaller than the sum of its proper divisors (38180202).

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

28082838 is a wasteful number, since it uses less digits than its factorization.

28082838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21612.

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 28082838 is about 5299.3242965495. The cubic root of 28082838 is about 303.9580606387.

It can be divided in two parts, 28082 and 838, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 28082838 in words is "twenty-eight million, eighty-two thousand, eight hundred thirty-eight".