28618679936000 has 1584 divisors, whose sum is σ = 93946197072000. Its totient is φ = 8515178496000.

The previous prime is 28618679935987. The next prime is 28618679936017. The reversal of 28618679936000 is 63997681682.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57352063751 + ... + 57352064249.

Almost surely, 2^{28618679936000} is an apocalyptic number.

28618679936000 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 28618679936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46973098536000).

28618679936000 is an abundant number, since it is smaller than the sum of its proper divisors (65327517136000).

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

28618679936000 is a wasteful number, since it uses less digits than its factorization.

28618679936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 28618679936000 in words is "twenty-eight trillion, six hundred eighteen billion, six hundred seventy-nine million, nine hundred thirty-six thousand".