28380785617296 has 640 divisors, whose sum is σ = 104103176970240. Its totient is φ = 7212013535232.

The previous prime is 28380785617237. The next prime is 28380785617297. The reversal of 28380785617296 is 69271658708382.

28380785617296 is a `hidden beast` number, since 2 + 8 + 38 + 0 + 7 + 8 + 561 + 7 + 29 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28380785617297) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 97993276 + ... + 98282468.

It is an arithmetic number, because the mean of its divisors is an integer number (162661214016).

Almost surely, 2^{28380785617296} 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 28380785617296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52051588485120).

28380785617296 is an abundant number, since it is smaller than the sum of its proper divisors (75722391352944).

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

28380785617296 is a wasteful number, since it uses less digits than its factorization.

28380785617296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289340 (or 289328 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 28380785617296 in words is "twenty-eight trillion, three hundred eighty billion, seven hundred eighty-five million, six hundred seventeen thousand, two hundred ninety-six".