5188292928 has 504 divisors, whose sum is σ = 19096232064. Its totient is φ = 1311344640.

The previous prime is 5188292927. The next prime is 5188292953. The reversal of 5188292928 is 8292928815.

It is a happy number.

5188292928 is a `hidden beast` number, since 518 + 82 + 9 + 29 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188292927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50371725 + ... + 50371827.

Almost surely, 2^5188292928 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 5188292928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548116032).

5188292928 is an abundant number, since it is smaller than the sum of its proper divisors (13907939136).

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

5188292928 is a wasteful number, since it uses less digits than its factorization.

5188292928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 159 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 5188292928 is about 72029.8058306421. The cubic root of 5188292928 is about 1731.1770897140.

It can be divided in two parts, 5188 and 292928, that added together give a square (298116 = 546²).

The spelling of 5188292928 in words is "five billion, one hundred eighty-eight million, two hundred ninety-two thousand, nine hundred twenty-eight".