28780409664000 has 480 divisors, whose sum is σ = 103721204386800. Its totient is φ = 7670366208000.

The previous prime is 28780409663891. The next prime is 28780409664037. The reversal of 28780409664000 is 46690408782.

It can be written as a sum of positive squares in 8 ways, for example, as 2742494978304 + 26037914685696 = 1656048^2 + 5102736^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 1071922576 + ... + 1071949424.

Almost surely, 2^{28780409664000} is an apocalyptic number.

28780409664000 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 28780409664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51860602193400).

28780409664000 is an abundant number, since it is smaller than the sum of its proper divisors (74940794722800).

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

28780409664000 is a wasteful number, since it uses less digits than its factorization.

28780409664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28749 (or 28720 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28780409664000 in words is "twenty-eight trillion, seven hundred eighty billion, four hundred nine million, six hundred sixty-four thousand".