57428062838784 has 672 divisors, whose sum is σ = 185562148584384. Its totient is φ = 16962960752640.

The previous prime is 57428062838719. The next prime is 57428062838789. The reversal of 57428062838784 is 48783826082475.

It is a happy number.

57428062838784 is a `hidden beast` number, since 5 + 74 + 2 + 80 + 6 + 28 + 387 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57428062838789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20679891604 + ... + 20679894380.

Almost surely, 2^{57428062838784} 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 57428062838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92781074292192).

57428062838784 is an abundant number, since it is smaller than the sum of its proper divisors (128134085745600).

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

57428062838784 is a wasteful number, since it uses less digits than its factorization.

57428062838784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 57428062838784 in words is "fifty-seven trillion, four hundred twenty-eight billion, sixty-two million, eight hundred thirty-eight thousand, seven hundred eighty-four".