28205916200 has 384 divisors, whose sum is σ = 85382035200. Its totient is φ = 8408064000.

The previous prime is 28205916173. The next prime is 28205916203. The reversal of 28205916200 is 261950282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (28205916203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 61183970 + ... + 61184430.

It is an arithmetic number, because the mean of its divisors is an integer number (222349050).

Almost surely, 2^28205916200 is an apocalyptic number.

28205916200 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 28205916200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42691017600).

28205916200 is an abundant number, since it is smaller than the sum of its proper divisors (57176119000).

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

28205916200 is a wasteful number, since it uses less digits than its factorization.

28205916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 28205916200 in words is "twenty-eight billion, two hundred five million, nine hundred sixteen thousand, two hundred".