28350067200 has 1440 divisors, whose sum is σ = 125522591040. Its totient is φ = 5573836800.

The previous prime is 28350067171. The next prime is 28350067223. The reversal of 28350067200 is 276005382.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 464755170 + ... + 464755230.

It is an arithmetic number, because the mean of its divisors is an integer number (87168466).

Almost surely, 2^28350067200 is an apocalyptic number.

28350067200 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 28350067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62761295520).

28350067200 is an abundant number, since it is smaller than the sum of its proper divisors (97172523840).

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

28350067200 is a wasteful number, since it uses less digits than its factorization.

28350067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 28350067200 in words is "twenty-eight billion, three hundred fifty million, sixty-seven thousand, two hundred".