28665600 has 108 divisors (see below), whose sum is σ = 94665816. Its totient is φ = 7639040.

The previous prime is 28665599. The next prime is 28665617. The reversal of 28665600 is 656682.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18454 + ... + 19946.

Almost surely, 2^28665600 is an apocalyptic number.

28665600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47332908).

28665600 is an abundant number, since it is smaller than the sum of its proper divisors (66000216).

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

28665600 is a wasteful number, since it uses less digits than its factorization.

28665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 28665600 is about 5354.0265221607. The cubic root of 28665600 is about 306.0462145587.

The spelling of 28665600 in words is "twenty-eight million, six hundred sixty-five thousand, six hundred".