728213138400 has 864 divisors, whose sum is σ = 2807184328704. Its totient is φ = 163367424000.

The previous prime is 728213138363. The next prime is 728213138413. The reversal of 728213138400 is 4831312827.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207053442 + ... + 207056958.

It is an arithmetic number, because the mean of its divisors is an integer number (3249055936).

Almost surely, 2^728213138400 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 728213138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403592164352).

728213138400 is an abundant number, since it is smaller than the sum of its proper divisors (2078971190304).

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

728213138400 is a wasteful number, since it uses less digits than its factorization.

728213138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 728213138400 in words is "seven hundred twenty-eight billion, two hundred thirteen million, one hundred thirty-eight thousand, four hundred".