728133782489568 has 576 divisors, whose sum is σ = 2665407634827840. Its totient is φ = 191680241356800.

The previous prime is 728133782489527. The next prime is 728133782489599. The reversal of 728133782489568 is 865984287331827.

728133782489568 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 3 + 3 + 7 + 8 + 2 + 48 + 9 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296526358 + ... + 298971818.

It is an arithmetic number, because the mean of its divisors is an integer number (4627443810465).

Almost surely, 2^{728133782489568} is an apocalyptic number.

728133782489568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728133782489568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332703817413920).

728133782489568 is an abundant number, since it is smaller than the sum of its proper divisors (1937273852338272).

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

728133782489568 is a wasteful number, since it uses less digits than its factorization.

728133782489568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446048 (or 2446027 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 81.

The spelling of 728133782489568 in words is "seven hundred twenty-eight trillion, one hundred thirty-three billion, seven hundred eighty-two million, four hundred eighty-nine thousand, five hundred sixty-eight".