57281828688 has 450 divisors, whose sum is σ = 194671107774. Its totient is φ = 15721671168.

The previous prime is 57281828687. The next prime is 57281828731. The reversal of 57281828688 is 88682818275.

It can be written as a sum of positive squares in 3 ways, for example, as 25957076544 + 31324752144 = 161112^2 + 176988^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57281828687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 290770606 + ... + 290770802.

Almost surely, 2^57281828688 is an apocalyptic number.

57281828688 is a gapful number since it is divisible by the number (58) 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 57281828688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97335553887).

57281828688 is an abundant number, since it is smaller than the sum of its proper divisors (137389279086).

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

57281828688 is a wasteful number, since it uses less digits than its factorization.

57281828688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 238 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 63.

The spelling of 57281828688 in words is "fifty-seven billion, two hundred eighty-one million, eight hundred twenty-eight thousand, six hundred eighty-eight".