5872508928 has 336 divisors, whose sum is σ = 19965503376. Its totient is φ = 1639710720.

The previous prime is 5872508921. The next prime is 5872508947. The reversal of 5872508928 is 8298052785.

5872508928 is a `hidden beast` number, since 587 + 2 + 50 + 8 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×5872508928² = 68972722218879418368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872508921) 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 23 ways as a sum of consecutive naturals, for example, 10542826 + ... + 10543382.

It is an arithmetic number, because the mean of its divisors is an integer number (59421141).

Almost surely, 2^5872508928 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 5872508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982751688).

5872508928 is an abundant number, since it is smaller than the sum of its proper divisors (14092994448).

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

5872508928 is a wasteful number, since it uses less digits than its factorization.

5872508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 5872508928 is about 76632.2968988924. The cubic root of 5872508928 is about 1804.1579729345.

The spelling of 5872508928 in words is "five billion, eight hundred seventy-two million, five hundred eight thousand, nine hundred twenty-eight".