542828075328 has 672 divisors, whose sum is σ = 1968292085760. Its totient is φ = 138945024000.

The previous prime is 542828075287. The next prime is 542828075359. The reversal of 542828075328 is 823570828245.

542828075328 is a `hidden beast` number, since 5 + 4 + 28 + 2 + 80 + 7 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1177501018 + ... + 1177501478.

It is an arithmetic number, because the mean of its divisors is an integer number (2929006080).

Almost surely, 2^542828075328 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 542828075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984146042880).

542828075328 is an abundant number, since it is smaller than the sum of its proper divisors (1425464010432).

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

542828075328 is a wasteful number, since it uses less digits than its factorization.

542828075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 542828075328 in words is "five hundred forty-two billion, eight hundred twenty-eight million, seventy-five thousand, three hundred twenty-eight".