558649728 has 288 divisors, whose sum is σ = 2006025840. Its totient is φ = 145317888.

The previous prime is 558649727. The next prime is 558649747. The reversal of 558649728 is 827946855.

558649728 is a `hidden beast` number, since 55 + 86 + 497 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558649727) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7652700 + ... + 7652772.

Almost surely, 2^558649728 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 558649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003012920).

558649728 is an abundant number, since it is smaller than the sum of its proper divisors (1447376112).

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

558649728 is a wasteful number, since it uses less digits than its factorization.

558649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 98 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 558649728 is about 23635.7722107825. The cubic root of 558649728 is about 823.5940439134.

The spelling of 558649728 in words is "five hundred fifty-eight million, six hundred forty-nine thousand, seven hundred twenty-eight".