57089305728 has 288 divisors, whose sum is σ = 205804495260. Its totient is φ = 15056326656.

The previous prime is 57089305703. The next prime is 57089305781. The reversal of 57089305728 is 82750398075.

It can be written as a sum of positive squares in 2 ways, for example, as 56991057984 + 98247744 = 238728^2 + 9912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694926 + ... + 772722.

Almost surely, 2^57089305728 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 57089305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102902247630).

57089305728 is an abundant number, since it is smaller than the sum of its proper divisors (148715189532).

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

57089305728 is a wasteful number, since it uses less digits than its factorization.

57089305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77844 (or 77822 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 57089305728 in words is "fifty-seven billion, eighty-nine million, three hundred five thousand, seven hundred twenty-eight".