28267724800 has 180 divisors, whose sum is σ = 80124489760. Its totient is φ = 9690808320.

The previous prime is 28267724783. The next prime is 28267724827. The reversal of 28267724800 is 842776282.

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, 2862271 + ... + 2872129.

Almost surely, 2^28267724800 is an apocalyptic number.

28267724800 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 28267724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40062244880).

28267724800 is an abundant number, since it is smaller than the sum of its proper divisors (51856764960).

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

28267724800 is an frugal number, since it uses more digits than its factorization.

28267724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 28267724800 in words is "twenty-eight billion, two hundred sixty-seven million, seven hundred twenty-four thousand, eight hundred".