5824438120 has 96 divisors (see below), whose sum is σ = 13753441800. Its totient is φ = 2219728896.

The previous prime is 5824438117. The next prime is 5824438121. The reversal of 5824438120 is 218344285.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5289071076 + 535367044 = 72726^2 + 23138^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5824438120.

It is not an unprimeable number, because it can be changed into a prime (5824438121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8654104 + ... + 8654776.

Almost surely, 2^5824438120 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 5824438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876720900).

5824438120 is an abundant number, since it is smaller than the sum of its proper divisors (7929003680).

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

5824438120 is a wasteful number, since it uses less digits than its factorization.

5824438120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 5824438120 is about 76318.0065253280. The cubic root of 5824438120 is about 1799.2216923202.

The spelling of 5824438120 in words is "five billion, eight hundred twenty-four million, four hundred thirty-eight thousand, one hundred twenty".