28182800 has 30 divisors (see below), whose sum is σ = 67710138. Its totient is φ = 11272960.

The previous prime is 28182769. The next prime is 28182823. The reversal of 28182800 is 828182.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 27920656 = 512^2 + 5284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34829 + ... + 35628.

Almost surely, 2^28182800 is an apocalyptic number.

28182800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28182800 is an abundant number, since it is smaller than the sum of its proper divisors (39527338).

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

28182800 is a wasteful number, since it uses less digits than its factorization.

28182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70475 (or 70464 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 28182800 is about 5308.7474982335. The cubic root of 28182800 is about 304.3182839116.

It can be divided in two parts, 28182 and 800, that added together give a palindrome (28982).

The spelling of 28182800 in words is "twenty-eight million, one hundred eighty-two thousand, eight hundred".