28634688 has 112 divisors (see below), whose sum is σ = 85709760. Its totient is φ = 9372672.

The previous prime is 28634659. The next prime is 28634693. The reversal of 28634688 is 88643682.

It is a happy number.

28634688 is a `hidden beast` number, since 2 + 8 + 634 + 6 + 8 + 8 = 666.

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 15 ways as a sum of consecutive naturals, for example, 126031 + ... + 126257.

Almost surely, 2^28634688 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 28634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854880).

28634688 is an abundant number, since it is smaller than the sum of its proper divisors (57075072).

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

28634688 is a wasteful number, since it uses less digits than its factorization.

28634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28634688 is about 5351.1389441875. The cubic root of 28634688 is about 305.9361650772.

The spelling of 28634688 in words is "twenty-eight million, six hundred thirty-four thousand, six hundred eighty-eight".