728496806400 has 960 divisors, whose sum is σ = 2959203456000. Its totient is φ = 174053376000.

The previous prime is 728496806357. The next prime is 728496806413. The reversal of 728496806400 is 4608694827.

728496806400 is a `hidden beast` number, since 72 + 8 + 4 + 96 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 269912251 + ... + 269914949.

It is an arithmetic number, because the mean of its divisors is an integer number (3082503600).

Almost surely, 2^728496806400 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 728496806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479601728000).

728496806400 is an abundant number, since it is smaller than the sum of its proper divisors (2230706649600).

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

728496806400 is a wasteful number, since it uses less digits than its factorization.

728496806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 728496806400 in words is "seven hundred twenty-eight billion, four hundred ninety-six million, eight hundred six thousand, four hundred".