542928371401728 has 704 divisors, whose sum is σ = 1767143196931840. Its totient is φ = 163651033497600.

The previous prime is 542928371401723. The next prime is 542928371401729. The reversal of 542928371401728 is 827104173829245.

542928371401728 is a `hidden beast` number, since 5 + 4 + 2 + 92 + 8 + 3 + 71 + 401 + 72 + 8 = 666.

It is a super-2 number, since 2×542928371401728² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542928371401723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4358672568 + ... + 4358797128.

Almost surely, 2^{542928371401728} 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 542928371401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883571598465920).

542928371401728 is an abundant number, since it is smaller than the sum of its proper divisors (1224214825530112).

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

542928371401728 is a wasteful number, since it uses less digits than its factorization.

542928371401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124851 (or 124827 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 542928371401728 in words is "five hundred forty-two trillion, nine hundred twenty-eight billion, three hundred seventy-one million, four hundred one thousand, seven hundred twenty-eight".