28182816 has 120 divisors (see below), whose sum is σ = 84523824. Its totient is φ = 9210240.

The previous prime is 28182769. The next prime is 28182823. The reversal of 28182816 is 61828182.

It is a super-2 number, since 2×28182816² = 1588542235379712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215071 + ... + 215201.

Almost surely, 2^28182816 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 28182816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42261912).

28182816 is an abundant number, since it is smaller than the sum of its proper divisors (56341008).

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

28182816 is a wasteful number, since it uses less digits than its factorization.

28182816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 28182816 is about 5308.7490051800. The cubic root of 28182816 is about 304.3183415010.

It can be divided in two parts, 2 and 8182816, that added together give a palindrome (8182818).

The spelling of 28182816 in words is "twenty-eight million, one hundred eighty-two thousand, eight hundred sixteen".