28640628576 has 432 divisors, whose sum is σ = 100387123200. Its totient is φ = 7701474816.

The previous prime is 28640628559. The next prime is 28640628589. The reversal of 28640628576 is 67582604682.

28640628576 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 0 + 62 + 8 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59792305 + ... + 59792783.

It is an arithmetic number, because the mean of its divisors is an integer number (232377600).

Almost surely, 2^28640628576 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 28640628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

28640628576 is an abundant number, since it is smaller than the sum of its proper divisors (71746494624).

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

28640628576 is a wasteful number, since it uses less digits than its factorization.

28640628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28640628576 in words is "twenty-eight billion, six hundred forty million, six hundred twenty-eight thousand, five hundred seventy-six".