5009528832 has 192 divisors, whose sum is σ = 16652563200. Its totient is φ = 1301053440.

The previous prime is 5009528831. The next prime is 5009528833. The reversal of 5009528832 is 2388259005.

It is an interprime number because it is at equal distance from previous prime (5009528831) and next prime (5009528833).

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009528831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467794 + ... + 478382.

It is an arithmetic number, because the mean of its divisors is an integer number (86732100).

Almost surely, 2^5009528832 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 5009528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8326281600).

5009528832 is an abundant number, since it is smaller than the sum of its proper divisors (11643034368).

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

5009528832 is a wasteful number, since it uses less digits than its factorization.

5009528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 5009528832 is about 70778.0250642811. The cubic root of 5009528832 is about 1711.0615289144.

The spelling of 5009528832 in words is "five billion, nine million, five hundred twenty-eight thousand, eight hundred thirty-two".