28961313768 has 192 divisors, whose sum is σ = 88171200000. Its totient is φ = 8545098240.

The previous prime is 28961313607. The next prime is 28961313779. The reversal of 28961313768 is 86731316982.

28961313768 is a `hidden beast` number, since 2 + 8 + 9 + 613 + 13 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218058 + ... + 1241606.

It is an arithmetic number, because the mean of its divisors is an integer number (459225000).

Almost surely, 2^28961313768 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 28961313768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44085600000).

28961313768 is an abundant number, since it is smaller than the sum of its proper divisors (59209886232).

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

28961313768 is a wasteful number, since it uses less digits than its factorization.

28961313768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23640 (or 23633 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 28961313768 in words is "twenty-eight billion, nine hundred sixty-one million, three hundred thirteen thousand, seven hundred sixty-eight".