28760019200 has 216 divisors, whose sum is σ = 80340482880. Its totient is φ = 10096844800.

The previous prime is 28760019179. The next prime is 28760019209. The reversal of 28760019200 is 291006782.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (28760019209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034557 + ... + 2048643.

It is an arithmetic number, because the mean of its divisors is an integer number (371946680).

Almost surely, 2^28760019200 is an apocalyptic number.

28760019200 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 28760019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40170241440).

28760019200 is an abundant number, since it is smaller than the sum of its proper divisors (51580463680).

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

28760019200 is a wasteful number, since it uses less digits than its factorization.

28760019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14153 (or 14134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 28760019200 in words is "twenty-eight billion, seven hundred sixty million, nineteen thousand, two hundred".