5167729728 has 252 divisors, whose sum is σ = 17319075852. Its totient is φ = 1468938240.

The previous prime is 5167729613. The next prime is 5167729739. The reversal of 5167729728 is 8279277615.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2472873984 + 2694855744 = 49728^2 + 51912^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7817718 + ... + 7818378.

Almost surely, 2^5167729728 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 5167729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659537926).

5167729728 is an abundant number, since it is smaller than the sum of its proper divisors (12151346124).

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

5167729728 is a wasteful number, since it uses less digits than its factorization.

5167729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 950 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The square root of 5167729728 is about 71886.9232058237. The cubic root of 5167729728 is about 1728.8869546420.

The spelling of 5167729728 in words is "five billion, one hundred sixty-seven million, seven hundred twenty-nine thousand, seven hundred twenty-eight".