28775980800 has 1296 divisors, whose sum is σ = 128106800640. Its totient is φ = 6017679360.

The previous prime is 28775980781. The next prime is 28775980811. The reversal of 28775980800 is 808957782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 268934347 + ... + 268934453.

It is an arithmetic number, because the mean of its divisors is an integer number (98847840).

Almost surely, 2^28775980800 is an apocalyptic number.

28775980800 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 28775980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64053400320).

28775980800 is an abundant number, since it is smaller than the sum of its proper divisors (99330819840).

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

28775980800 is a wasteful number, since it uses less digits than its factorization.

28775980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 28775980800 in words is "twenty-eight billion, seven hundred seventy-five million, nine hundred eighty thousand, eight hundred".