5171257728 has 768 divisors, whose sum is σ = 20023416000. Its totient is φ = 1316818944.

The previous prime is 5171257723. The next prime is 5171257769. The reversal of 5171257728 is 8277521715.

5171257728 is a `hidden beast` number, since 5 + 1 + 71 + 2 + 577 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171257723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178319218 + ... + 178319246.

Almost surely, 2^5171257728 is an apocalyptic number.

5171257728 is a gapful number since it is divisible by the number (58) 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 5171257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011708000).

5171257728 is an abundant number, since it is smaller than the sum of its proper divisors (14852158272).

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

5171257728 is an equidigital number, since it uses as much as digits as its factorization.

5171257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its digits is 274400, while the sum is 45.

The square root of 5171257728 is about 71911.4575571932. The cubic root of 5171257728 is about 1729.2803011713.

The spelling of 5171257728 in words is "five billion, one hundred seventy-one million, two hundred fifty-seven thousand, seven hundred twenty-eight".