728406000000 has 1792 divisors, whose sum is σ = 3212958873600. Its totient is φ = 158976000000.

The previous prime is 728405999999. The next prime is 728406000019. The reversal of 728406000000 is 604827.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15497999977 + ... + 15498000023.

It is an arithmetic number, because the mean of its divisors is an integer number (1792945800).

Almost surely, 2^728406000000 is an apocalyptic number.

728406000000 is a gapful number since it is divisible by the number (70) 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 728406000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606479436800).

728406000000 is an abundant number, since it is smaller than the sum of its proper divisors (2484552873600).

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

728406000000 is an frugal number, since it uses more digits than its factorization.

728406000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 728406000000 its reverse (604827), we get a palindrome (728406604827).

The spelling of 728406000000 in words is "seven hundred twenty-eight billion, four hundred six million", and thus it is an aban number.