57728062368 has 240 divisors, whose sum is σ = 179432003520. Its totient is φ = 18156524544.

The previous prime is 57728062367. The next prime is 57728062433. The reversal of 57728062368 is 86326082775.

57728062368 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 8 + 0 + 623 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57728062367) 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 39 ways as a sum of consecutive naturals, for example, 12949996 + ... + 12954452.

It is an arithmetic number, because the mean of its divisors is an integer number (747633348).

Almost surely, 2^57728062368 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 57728062368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89716001760).

57728062368 is an abundant number, since it is smaller than the sum of its proper divisors (121703941152).

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

57728062368 is a wasteful number, since it uses less digits than its factorization.

57728062368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 57728062368 in words is "fifty-seven billion, seven hundred twenty-eight million, sixty-two thousand, three hundred sixty-eight".