28872142420608 has 768 divisors, whose sum is σ = 89540515584000. Its totient is φ = 8914141716480.

The previous prime is 28872142420607. The next prime is 28872142420619. The reversal of 28872142420608 is 80602424127882.

It is a happy number.

28872142420608 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 2 + 1 + 4 + 2 + 4 + 20 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (28872142420601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14414448535 + ... + 14414450537.

It is an arithmetic number, because the mean of its divisors is an integer number (116589213000).

Almost surely, 2^{28872142420608} 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 28872142420608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44770257792000).

28872142420608 is an abundant number, since it is smaller than the sum of its proper divisors (60668373163392).

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

28872142420608 is a wasteful number, since it uses less digits than its factorization.

28872142420608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 28872142420608 in words is "twenty-eight trillion, eight hundred seventy-two billion, one hundred forty-two million, four hundred twenty thousand, six hundred eight".