28879542812960 has 384 divisors, whose sum is σ = 81638082054144. Its totient is φ = 9449534545920.

The previous prime is 28879542812947. The next prime is 28879542812963. The reversal of 28879542812960 is 6921824597882.

It is a Cunningham number, because it is equal to 5373969²-1.

It is not an unprimeable number, because it can be changed into a prime (28879542812963) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 376139375 + ... + 376216145.

It is an arithmetic number, because the mean of its divisors is an integer number (212599172016).

Almost surely, 2^{28879542812960} is an apocalyptic number.

28879542812960 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 28879542812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40819041027072).

28879542812960 is an abundant number, since it is smaller than the sum of its proper divisors (52758539241184).

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

28879542812960 is a wasteful number, since it uses less digits than its factorization.

28879542812960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016 (or 77008 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 71.

The spelling of 28879542812960 in words is "twenty-eight trillion, eight hundred seventy-nine billion, five hundred forty-two million, eight hundred twelve thousand, nine hundred sixty".