5271728144 has 80 divisors (see below), whose sum is σ = 10946918400. Its totient is φ = 2452125312.

The previous prime is 5271728129. The next prime is 5271728149. The reversal of 5271728144 is 4418271725.

It is a super-2 number, since 2×5271728144² = 55582235248483369472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5271728149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5451149 + ... + 5452115.

It is an arithmetic number, because the mean of its divisors is an integer number (136836480).

Almost surely, 2^5271728144 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 5271728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473459200).

5271728144 is an abundant number, since it is smaller than the sum of its proper divisors (5675190256).

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

5271728144 is a wasteful number, since it uses less digits than its factorization.

5271728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its digits is 125440, while the sum is 41.

The square root of 5271728144 is about 72606.6673522480. The cubic root of 5271728144 is about 1740.4077240680.

Adding to 5271728144 its reverse (4418271725), we get a palindrome (9689999869).

The spelling of 5271728144 in words is "five billion, two hundred seventy-one million, seven hundred twenty-eight thousand, one hundred forty-four".