580305828 has 96 divisors (see below), whose sum is σ = 1463616000. Its totient is φ = 178398720.

The previous prime is 580305823. The next prime is 580305853. The reversal of 580305828 is 828503085.

It is not an unprimeable number, because it can be changed into a prime (580305823) 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 31 ways as a sum of consecutive naturals, for example, 2407788 + ... + 2408028.

It is an arithmetic number, because the mean of its divisors is an integer number (15246000).

Almost surely, 2^580305828 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 580305828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

580305828 is an abundant number, since it is smaller than the sum of its proper divisors (883310172).

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

580305828 is a wasteful number, since it uses less digits than its factorization.

580305828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 580305828 is about 24089.5377290640. The cubic root of 580305828 is about 834.1016444156.

The spelling of 580305828 in words is "five hundred eighty million, three hundred five thousand, eight hundred twenty-eight".