5128800768 has 560 divisors, whose sum is σ = 19035198336. Its totient is φ = 1343692800.

The previous prime is 5128800767. The next prime is 5128800773. The reversal of 5128800768 is 8670088215.

It is not an unprimeable number, because it can be changed into a prime (5128800767) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965493 + ... + 33965643.

Almost surely, 2^5128800768 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 5128800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517599168).

5128800768 is an abundant number, since it is smaller than the sum of its proper divisors (13906397568).

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

5128800768 is an equidigital number, since it uses as much as digits as its factorization.

5128800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5128800768 is about 71615.6461117262. The cubic root of 5128800768 is about 1724.5347221507.

The spelling of 5128800768 in words is "five billion, one hundred twenty-eight million, eight hundred thousand, seven hundred sixty-eight".