28646800 has 120 divisors (see below), whose sum is σ = 84814016. Its totient is φ = 9054720.

The previous prime is 28646777. The next prime is 28646831. The reversal of 28646800 is 864682.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36007 + ... + 36793.

Almost surely, 2^28646800 is an apocalyptic number.

28646800 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 28646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42407008).

28646800 is an abundant number, since it is smaller than the sum of its proper divisors (56167216).

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

28646800 is a wasteful number, since it uses less digits than its factorization.

28646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 28646800 is about 5352.2705462262. The cubic root of 28646800 is about 305.9792943114.

The spelling of 28646800 in words is "twenty-eight million, six hundred forty-six thousand, eight hundred".