8728204800 has 480 divisors, whose sum is σ = 34706707200. Its totient is φ = 1888911360.

The previous prime is 8728204747. The next prime is 8728204817. The reversal of 8728204800 is 84028278.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5106346 + ... + 5108054.

It is an arithmetic number, because the mean of its divisors is an integer number (72305640).

Almost surely, 2^8728204800 is an apocalyptic number.

8728204800 is a gapful number since it is divisible by the number (80) 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 8728204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353353600).

8728204800 is an abundant number, since it is smaller than the sum of its proper divisors (25978502400).

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

8728204800 is a wasteful number, since it uses less digits than its factorization.

8728204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 8728204800 is about 93424.8617874279. The cubic root of 8728204800 is about 2058.9302895003.

The spelling of 8728204800 in words is "eight billion, seven hundred twenty-eight million, two hundred four thousand, eight hundred".