728928080542752 has 192 divisors, whose sum is σ = 1943331547336704. Its totient is φ = 239215450521600.

The previous prime is 728928080542751. The next prime is 728928080542757. The reversal of 728928080542752 is 257245080829827.

728928080542752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728928080542752² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728928080542751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943189198 + ... + 943961714.

It is an arithmetic number, because the mean of its divisors is an integer number (10121518475712).

Almost surely, 2^{728928080542752} 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 728928080542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971665773668352).

728928080542752 is an abundant number, since it is smaller than the sum of its proper divisors (1214403466793952).

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

728928080542752 is a wasteful number, since it uses less digits than its factorization.

728928080542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773251 (or 773243 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 69.

The spelling of 728928080542752 in words is "seven hundred twenty-eight trillion, nine hundred twenty-eight billion, eighty million, five hundred forty-two thousand, seven hundred fifty-two".