192728024064 has 297 divisors, whose sum is σ = 593364547087. Its totient is φ = 60238921728.

The previous prime is 192728023993. The next prime is 192728024077. The reversal of 192728024064 is 460420827291.

The square root of 192728024064 is 439008.

It is a perfect power (a square), and thus also a powerful number.

192728024064 is a `hidden beast` number, since 1 + 9 + 272 + 80 + 240 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10064102400 + 182663921664 = 100320^2 + 427392^2 .

It is a super-2 number, since 2×192728024064² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 716460922 + ... + 716461190.

Almost surely, 2^192728024064 is an apocalyptic number.

192728024064 is the 439008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192728024064

192728024064 is an abundant number, since it is smaller than the sum of its proper divisors (400636523023).

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

192728024064 is an equidigital number, since it uses as much as digits as its factorization.

192728024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 192728024064 in words is "one hundred ninety-two billion, seven hundred twenty-eight million, twenty-four thousand, sixty-four".