580777728 has 72 divisors (see below), whose sum is σ = 1567633536. Its totient is φ = 190848000.

The previous prime is 580777727. The next prime is 580777739. The reversal of 580777728 is 827777085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580777721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49203 + ... + 59853.

It is an arithmetic number, because the mean of its divisors is an integer number (21772688).

Almost surely, 2^580777728 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 580777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783816768).

580777728 is an abundant number, since it is smaller than the sum of its proper divisors (986855808).

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

580777728 is a wasteful number, since it uses less digits than its factorization.

580777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 51.

The square root of 580777728 is about 24099.3304471307. The cubic root of 580777728 is about 834.3276780579.

The spelling of 580777728 in words is "five hundred eighty million, seven hundred seventy-seven thousand, seven hundred twenty-eight".