28700656500960 has 576 divisors, whose sum is σ = 99174024069120. Its totient is φ = 7557971742720.

The previous prime is 28700656500883. The next prime is 28700656500961. The reversal of 28700656500960 is 6900565600782.

It is a happy number.

28700656500960 is a `hidden beast` number, since 2 + 8 + 70 + 0 + 6 + 5 + 6 + 500 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28700656500897 and 28700656500906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28700656500961) 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, 39917463481 + ... + 39917464199.

It is an arithmetic number, because the mean of its divisors is an integer number (172177125120).

Almost surely, 2^{28700656500960} is an apocalyptic number.

28700656500960 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 28700656500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49587012034560).

28700656500960 is an abundant number, since it is smaller than the sum of its proper divisors (70473367568160).

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

28700656500960 is a wasteful number, since it uses less digits than its factorization.

28700656500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 28700656500960 in words is "twenty-eight trillion, seven hundred billion, six hundred fifty-six million, five hundred thousand, nine hundred sixty".