728873065872 has 300 divisors, whose sum is σ = 2456468818716. Its totient is φ = 208039104000.

The previous prime is 728873065867. The next prime is 728873065897. The reversal of 728873065872 is 278560378827.

It can be written as a sum of positive squares in 2 ways, for example, as 523805377536 + 205067688336 = 723744^2 + 452844^2 .

It is a super-2 number, since 2×728873065872² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69404622 + ... + 69415122.

Almost surely, 2^728873065872 is an apocalyptic number.

728873065872 is a gapful number since it is divisible by the number (72) 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 728873065872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228234409358).

728873065872 is an abundant number, since it is smaller than the sum of its proper divisors (1727595752844).

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

728873065872 is a wasteful number, since it uses less digits than its factorization.

728873065872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11628 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 728873065872 in words is "seven hundred twenty-eight billion, eight hundred seventy-three million, sixty-five thousand, eight hundred seventy-two".