580552128 has 336 divisors, whose sum is σ = 1926043392. Its totient is φ = 165888000.

The previous prime is 580552121. The next prime is 580552129. The reversal of 580552128 is 821255085.

580552128 is a `hidden beast` number, since 5 + 80 + 552 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 580552092 and 580552101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580552121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9517218 + ... + 9517278.

It is an arithmetic number, because the mean of its divisors is an integer number (5732272).

Almost surely, 2^580552128 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 580552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963021696).

580552128 is an abundant number, since it is smaller than the sum of its proper divisors (1345491264).

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

580552128 is a wasteful number, since it uses less digits than its factorization.

580552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 580552128 is about 24094.6493645373. The cubic root of 580552128 is about 834.2196340267.

The spelling of 580552128 in words is "five hundred eighty million, five hundred fifty-two thousand, one hundred twenty-eight".