28971766656 has 768 divisors, whose sum is σ = 108838080000. Its totient is φ = 7348174848.

The previous prime is 28971766643. The next prime is 28971766693. The reversal of 28971766656 is 65666717982.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28971766593 and 28971766602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127628815 + ... + 127629041.

It is an arithmetic number, because the mean of its divisors is an integer number (141716250).

Almost surely, 2^28971766656 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 28971766656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040000).

28971766656 is an abundant number, since it is smaller than the sum of its proper divisors (79866313344).

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

28971766656 is a wasteful number, since it uses less digits than its factorization.

28971766656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 28971766656 in words is "twenty-eight billion, nine hundred seventy-one million, seven hundred sixty-six thousand, six hundred fifty-six".