28586803200 has 240 divisors, whose sum is σ = 94656962400. Its totient is φ = 7612661760.

The previous prime is 28586803199. The next prime is 28586803213. The reversal of 28586803200 is 230868582.

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

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, 39321237 + ... + 39321963.

It is an arithmetic number, because the mean of its divisors is an integer number (394404010).

Almost surely, 2^28586803200 is an apocalyptic number.

28586803200 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 28586803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47328481200).

28586803200 is an abundant number, since it is smaller than the sum of its proper divisors (66070159200).

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

28586803200 is an frugal number, since it uses more digits than its factorization.

28586803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 28586803200 in words is "twenty-eight billion, five hundred eighty-six million, eight hundred three thousand, two hundred".