5288671872 has 192 divisors, whose sum is σ = 17158276800. Its totient is φ = 1602501120.

The previous prime is 5288671853. The next prime is 5288671891. The reversal of 5288671872 is 2781768825.

It is an interprime number because it is at equal distance from previous prime (5288671853) and next prime (5288671891).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411853 + ... + 424499.

It is an arithmetic number, because the mean of its divisors is an integer number (89366025).

Almost surely, 2^5288671872 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 5288671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579138400).

5288671872 is an abundant number, since it is smaller than the sum of its proper divisors (11869604928).

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

5288671872 is a wasteful number, since it uses less digits than its factorization.

5288671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12692 (or 12663 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 5288671872 is about 72723.2553726798. The cubic root of 5288671872 is about 1742.2703301114.

The spelling of 5288671872 in words is "five billion, two hundred eighty-eight million, six hundred seventy-one thousand, eight hundred seventy-two".