28464640157160 has 768 divisors, whose sum is σ = 104756422867200. Its totient is φ = 6660023648256.

The previous prime is 28464640157131. The next prime is 28464640157197. The reversal of 28464640157160 is 6175104646482.

28464640157160 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 4 + 6 + 4 + 0 + 1 + 571 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28464640157097 and 28464640157106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13220918644 + ... + 13220920796.

It is an arithmetic number, because the mean of its divisors is an integer number (136401592275).

Almost surely, 2^{28464640157160} is an apocalyptic number.

28464640157160 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 28464640157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52378211433600).

28464640157160 is an abundant number, since it is smaller than the sum of its proper divisors (76291782710040).

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

28464640157160 is a wasteful number, since it uses less digits than its factorization.

28464640157160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3963 counting only the distinct ones).

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

The spelling of 28464640157160 in words is "twenty-eight trillion, four hundred sixty-four billion, six hundred forty million, one hundred fifty-seven thousand, one hundred sixty".