28316921988096 has 1408 divisors, whose sum is σ = 101771206656000. Its totient is φ = 7768256348160.

The previous prime is 28316921988049. The next prime is 28316921988101. The reversal of 28316921988096 is 69088912961382.

28316921988096 is a `hidden beast` number, since 2 + 8 + 316 + 9 + 219 + 8 + 8 + 0 + 96 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26050525665 + ... + 26050526751.

Almost surely, 2^{28316921988096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28316921988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50885603328000).

28316921988096 is an abundant number, since it is smaller than the sum of its proper divisors (73454284667904).

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

28316921988096 is a wasteful number, since it uses less digits than its factorization.

28316921988096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 28316921988096 in words is "twenty-eight trillion, three hundred sixteen billion, nine hundred twenty-one million, nine hundred eighty-eight thousand, ninety-six".