4585122828 has 384 divisors, whose sum is σ = 14745722880. Its totient is φ = 1213056000.

The previous prime is 4585122827. The next prime is 4585122851. The reversal of 4585122828 is 8282215854.

4585122828 is a `hidden beast` number, since 4 + 58 + 512 + 2 + 82 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4585122827) 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 127 ways as a sum of consecutive naturals, for example, 29204526 + ... + 29204682.

It is an arithmetic number, because the mean of its divisors is an integer number (38400320).

Almost surely, 2^4585122828 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 4585122828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372861440).

4585122828 is an abundant number, since it is smaller than the sum of its proper divisors (10160600052).

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

4585122828 is a wasteful number, since it uses less digits than its factorization.

4585122828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 409600, while the sum is 45.

The square root of 4585122828 is about 67713.5350428554. The cubic root of 4585122828 is about 1661.3086438847.

The spelling of 4585122828 in words is "four billion, five hundred eighty-five million, one hundred twenty-two thousand, eight hundred twenty-eight".