28638585 has 24 divisors (see below), whose sum is σ = 50458824. Its totient is φ = 15022080.

The previous prime is 28638583. The next prime is 28638613. The reversal of 28638585 is 58583682.

It is a happy number.

28638585 is a `hidden beast` number, since 2 + 8 + 63 + 8 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 251001 + 28387584 = 501^2 + 5328^2 .

It is not a de Polignac number, because 28638585 - 2¹ = 28638583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 28638585.

It is not an unprimeable number, because it can be changed into a prime (28638581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472 + ... + 7961.

It is an arithmetic number, because the mean of its divisors is an integer number (2102451).

Almost surely, 2^28638585 is an apocalyptic number.

It is an amenable number.

28638585 is a deficient number, since it is larger than the sum of its proper divisors (21820239).

28638585 is a wasteful number, since it uses less digits than its factorization.

28638585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10502 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 28638585 is about 5351.5030598889. The cubic root of 28638585 is about 305.9500431069.

The spelling of 28638585 in words is "twenty-eight million, six hundred thirty-eight thousand, five hundred eighty-five".