28704787776000 has 6400 divisors, whose sum is σ = 142369859174400. Its totient is φ = 5589762048000.

The previous prime is 28704787775987. The next prime is 28704787776001. The reversal of 28704787776000 is 67778740782.

28704787776000 is a `hidden beast` number, since 28 + 7 + 0 + 478 + 77 + 76 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28704787776001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 363351743961 + ... + 363351744039.

It is an arithmetic number, because the mean of its divisors is an integer number (22245290496).

Almost surely, 2^{28704787776000} is an apocalyptic number.

28704787776000 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 28704787776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71184929587200).

28704787776000 is an abundant number, since it is smaller than the sum of its proper divisors (113665071398400).

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

28704787776000 is a wasteful number, since it uses less digits than its factorization.

28704787776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 51631104, while the sum is 63.

The spelling of 28704787776000 in words is "twenty-eight trillion, seven hundred four billion, seven hundred eighty-seven million, seven hundred seventy-six thousand".