28787373766800 has 480 divisors, whose sum is σ = 113885443186560. Its totient is φ = 6847081113600.

The previous prime is 28787373766703. The next prime is 28787373766813. The reversal of 28787373766800 is 866737378782.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4010382 + ... + 8582418.

It is an arithmetic number, because the mean of its divisors is an integer number (237261339972).

Almost surely, 2^{28787373766800} is an apocalyptic number.

28787373766800 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 28787373766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56942721593280).

28787373766800 is an abundant number, since it is smaller than the sum of its proper divisors (85098069419760).

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

28787373766800 is a wasteful number, since it uses less digits than its factorization.

28787373766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572128 (or 4572111 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 28787373766800 in words is "twenty-eight trillion, seven hundred eighty-seven billion, three hundred seventy-three million, seven hundred sixty-six thousand, eight hundred".