582428990000 has 400 divisors, whose sum is σ = 1681645701120. Its totient is φ = 192551040000.

The previous prime is 582428989999. The next prime is 582428990009. The reversal of 582428990000 is 99824285.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (582428990009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95806961 + ... + 95813039.

Almost surely, 2^582428990000 is an apocalyptic number.

582428990000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 582428990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840822850560).

582428990000 is an abundant number, since it is smaller than the sum of its proper divisors (1099216711120).

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

582428990000 is a wasteful number, since it uses less digits than its factorization.

582428990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 582428990000 in words is "five hundred eighty-two billion, four hundred twenty-eight million, nine hundred ninety thousand".