28580375038656 has 448 divisors, whose sum is σ = 89495104849920. Its totient is φ = 7880011776000.

The previous prime is 28580375038651. The next prime is 28580375038669. The reversal of 28580375038656 is 65683057308582.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (28580375038651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3789994246 + ... + 3790001786.

It is an arithmetic number, because the mean of its divisors is an integer number (199765859040).

Almost surely, 2^{28580375038656} 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 28580375038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44747552424960).

28580375038656 is an abundant number, since it is smaller than the sum of its proper divisors (60914729811264).

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

28580375038656 is a wasteful number, since it uses less digits than its factorization.

28580375038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 66.

The spelling of 28580375038656 in words is "twenty-eight trillion, five hundred eighty billion, three hundred seventy-five million, thirty-eight thousand, six hundred fifty-six".