5824542528 has 168 divisors, whose sum is σ = 19111764672. Its totient is φ = 1661386752.

The previous prime is 5824542527. The next prime is 5824542547. The reversal of 5824542528 is 8252454285.

5824542528 is a `hidden beast` number, since 5 + 82 + 4 + 5 + 42 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5824542523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4785376 + ... + 4786592.

It is an arithmetic number, because the mean of its divisors is an integer number (113760504).

Almost surely, 2^5824542528 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 5824542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555882336).

5824542528 is an abundant number, since it is smaller than the sum of its proper divisors (13287222144).

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

5824542528 is a wasteful number, since it uses less digits than its factorization.

5824542528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The square root of 5824542528 is about 76318.6905548045. The cubic root of 5824542528 is about 1799.2324431149.

The spelling of 5824542528 in words is "five billion, eight hundred twenty-four million, five hundred forty-two thousand, five hundred twenty-eight".