5828444160 has 612 divisors, whose sum is σ = 23847582024. Its totient is φ = 1211105280.

The previous prime is 5828444131. The next prime is 5828444189. The reversal of 5828444160 is 614448285.

It is an interprime number because it is at equal distance from previous prime (5828444131) and next prime (5828444189).

It is a super-2 number, since 2×5828444160² = 67941522652476211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 529858555 + ... + 529858565.

Almost surely, 2^5828444160 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 5828444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923791012).

5828444160 is an abundant number, since it is smaller than the sum of its proper divisors (18019137864).

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

5828444160 is an equidigital number, since it uses as much as digits as its factorization.

5828444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 5828444160 is about 76344.2477204406. The cubic root of 5828444160 is about 1799.6340984646.

5828444160 divided by its product of nonzero digits (245760) gives a square (23716 = 154²).

The spelling of 5828444160 in words is "five billion, eight hundred twenty-eight million, four hundred forty-four thousand, one hundred sixty".