5187587328 has 756 divisors, whose sum is σ = 20428537248. Its totient is φ = 1276508160.

The previous prime is 5187587297. The next prime is 5187587441. The reversal of 5187587328 is 8237857815.

5187587328 is a `hidden beast` number, since 51 + 8 + 7 + 587 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×5187587328² = 53822124571252359168, which contains 22 as substring.

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

Its product of digits (3763200) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 273030903 + ... + 273030921.

Almost surely, 2^5187587328 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 5187587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214268624).

5187587328 is an abundant number, since it is smaller than the sum of its proper divisors (15240949920).

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

5187587328 is an equidigital number, since it uses as much as digits as its factorization.

5187587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The square root of 5187587328 is about 72024.9076917145. The cubic root of 5187587328 is about 1731.0986069998.

The spelling of 5187587328 in words is "five billion, one hundred eighty-seven million, five hundred eighty-seven thousand, three hundred twenty-eight".