28182627 has 32 divisors (see below), whose sum is σ = 47032320. Its totient is φ = 16524000.

The previous prime is 28182619. The next prime is 28182631. The reversal of 28182627 is 72628182.

It is a happy number.

28182627 is a `hidden beast` number, since 28 + 1 + 8 + 2 + 627 = 666.

It is not a de Polignac number, because 28182627 - 2³ = 28182619 is a prime.

It is a super-2 number, since 2×28182627² = 1588520929242258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28182591 and 28182600.

It is not an unprimeable number, because it can be changed into a prime (28182607) 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 31 ways as a sum of consecutive naturals, for example, 7677 + ... + 10737.

It is an arithmetic number, because the mean of its divisors is an integer number (1469760).

Almost surely, 2^28182627 is an apocalyptic number.

28182627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

28182627 is a deficient number, since it is larger than the sum of its proper divisors (18849693).

28182627 is a wasteful number, since it uses less digits than its factorization.

28182627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28182627 is about 5308.7312043463. The cubic root of 28182627 is about 304.3176612248.

It can be divided in two parts, 2818 and 2627, that added together give a palindrome (5445).

The spelling of 28182627 in words is "twenty-eight million, one hundred eighty-two thousand, six hundred twenty-seven".