728766720000 has 1680 divisors, whose sum is σ = 3020221844640. Its totient is φ = 174182400000.

The previous prime is 728766719987. The next prime is 728766720029. The reversal of 728766720000 is 27667827.

It is a happy number.

It is a super-2 number, since 2×728766720000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 10264319965 + ... + 10264320035.

It is an arithmetic number, because the mean of its divisors is an integer number (1797751098).

Almost surely, 2^728766720000 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 728766720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510110922320).

728766720000 is an abundant number, since it is smaller than the sum of its proper divisors (2291455124640).

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

728766720000 is an frugal number, since it uses more digits than its factorization.

728766720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 728766720000 in words is "seven hundred twenty-eight billion, seven hundred sixty-six million, seven hundred twenty thousand".