28896448680 has 640 divisors, whose sum is σ = 112698432000. Its totient is φ = 6567298560.

The previous prime is 28896448667. The next prime is 28896448681. The reversal of 28896448680 is 8684469882.

28896448680 is a `hidden beast` number, since 28 + 8 + 96 + 448 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (28896448681) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 94125087 + ... + 94125393.

It is an arithmetic number, because the mean of its divisors is an integer number (176091300).

Almost surely, 2^28896448680 is an apocalyptic number.

28896448680 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 28896448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56349216000).

28896448680 is an abundant number, since it is smaller than the sum of its proper divisors (83801983320).

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

28896448680 is a wasteful number, since it uses less digits than its factorization.

28896448680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 28896448680 in words is "twenty-eight billion, eight hundred ninety-six million, four hundred forty-eight thousand, six hundred eighty".