28182456 has 96 divisors (see below), whose sum is σ = 80028000. Its totient is φ = 8951040.

The previous prime is 28182449. The next prime is 28182463. The reversal of 28182456 is 65428182.

28182456 is a `hidden beast` number, since 28 + 182 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (28182449) and next prime (28182463).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28182456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189070 + ... + 189218.

It is an arithmetic number, because the mean of its divisors is an integer number (833625).

Almost surely, 2^28182456 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 28182456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40014000).

28182456 is an abundant number, since it is smaller than the sum of its proper divisors (51845544).

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

28182456 is a wasteful number, since it uses less digits than its factorization.

28182456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 28182456 is about 5308.7150987786. The cubic root of 28182456 is about 304.3170457342.

The spelling of 28182456 in words is "twenty-eight million, one hundred eighty-two thousand, four hundred fifty-six".