28366800 has 240 divisors, whose sum is σ = 113659392. Its totient is φ = 5875200.

The previous prime is 28366783. The next prime is 28366801. The reversal of 28366800 is 866382.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28366801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92247 + ... + 92553.

Almost surely, 2^28366800 is an apocalyptic number.

28366800 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 28366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56829696).

28366800 is an abundant number, since it is smaller than the sum of its proper divisors (85292592).

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

28366800 is a wasteful number, since it uses less digits than its factorization.

28366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28366800 is about 5326.0491924127. The cubic root of 28366800 is about 304.9791260461.

The spelling of 28366800 in words is "twenty-eight million, three hundred sixty-six thousand, eight hundred".