5005928928 has 384 divisors, whose sum is σ = 17838019584. Its totient is φ = 1187020800.

The previous prime is 5005928923. The next prime is 5005928957. The reversal of 5005928928 is 8298295005.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005928923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10858618 + ... + 10859078.

It is an arithmetic number, because the mean of its divisors is an integer number (46453176).

Almost surely, 2^5005928928 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 5005928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919009792).

5005928928 is an abundant number, since it is smaller than the sum of its proper divisors (12832090656).

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

5005928928 is a wasteful number, since it uses less digits than its factorization.

5005928928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 5005928928 is about 70752.5895497826. The cubic root of 5005928928 is about 1710.6515679843.

It can be divided in two parts, 50059 and 28928, that added together give a palindrome (78987).

The spelling of 5005928928 in words is "five billion, five million, nine hundred twenty-eight thousand, nine hundred twenty-eight".