28743559771200 has 336 divisors, whose sum is σ = 102172161009600. Its totient is φ = 7046299975680.

The previous prime is 28743559771189. The next prime is 28743559771247. The reversal of 28743559771200 is 217795534782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 587125 + ... + 7604724.

Almost surely, 2^{28743559771200} is an apocalyptic number.

28743559771200 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 28743559771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51086080504800).

28743559771200 is an abundant number, since it is smaller than the sum of its proper divisors (73428601238400).

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

28743559771200 is a wasteful number, since it uses less digits than its factorization.

28743559771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191934 (or 8191919 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 28743559771200 in words is "twenty-eight trillion, seven hundred forty-three billion, five hundred fifty-nine million, seven hundred seventy-one thousand, two hundred".