28826800 has 60 divisors (see below), whose sum is σ = 72920680. Its totient is φ = 10920960.

The previous prime is 28826779. The next prime is 28826801. The reversal of 28826800 is 862882.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28826801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5704 + ... + 9496.

Almost surely, 2^28826800 is an apocalyptic number.

28826800 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 28826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36460340).

28826800 is an abundant number, since it is smaller than the sum of its proper divisors (44093880).

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

28826800 is a wasteful number, since it uses less digits than its factorization.

28826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 28826800 is about 5369.0595079585. The cubic root of 28826800 is about 306.6188226138.

The spelling of 28826800 in words is "twenty-eight million, eight hundred twenty-six thousand, eight hundred".