728671838600 has 96 divisors (see below), whose sum is σ = 1790730400800. Its totient is φ = 274982169600.

The previous prime is 728671838569. The next prime is 728671838689. The reversal of 728671838600 is 6838176827.

It is a happy 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 23 ways as a sum of consecutive naturals, for example, 517967 + ... + 1313633.

It is an arithmetic number, because the mean of its divisors is an integer number (18653441675).

Almost surely, 2^728671838600 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 728671838600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895365200400).

728671838600 is an abundant number, since it is smaller than the sum of its proper divisors (1062058562200).

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

728671838600 is a wasteful number, since it uses less digits than its factorization.

728671838600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795943 (or 795934 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 728671838600 in words is "seven hundred twenty-eight billion, six hundred seventy-one million, eight hundred thirty-eight thousand, six hundred".