728004000000 has 1008 divisors, whose sum is σ = 2657165987840. Its totient is φ = 176256000000.

The previous prime is 728003999977. The next prime is 728004000041. The reversal of 728004000000 is 400827.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7067999949 + ... + 7068000051.

Almost surely, 2^728004000000 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 728004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328582993920).

728004000000 is an abundant number, since it is smaller than the sum of its proper divisors (1929161987840).

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

728004000000 is an equidigital number, since it uses as much as digits as its factorization.

728004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 728004000000 its reverse (400827), we get a palindrome (728004400827).

The spelling of 728004000000 in words is "seven hundred twenty-eight billion, four million", and thus it is an aban number.