728314675200 has 1260 divisors, whose sum is σ = 3146565360400. Its totient is φ = 166471925760.

The previous prime is 728314675163. The next prime is 728314675201. The reversal of 728314675200 is 2576413827.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

728314675200 is a `hidden beast` number, since 7 + 2 + 83 + 1 + 46 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×728314675200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728314675201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104044953597 + ... + 104044953603.

Almost surely, 2^728314675200 is an apocalyptic number.

728314675200 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 728314675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573282680200).

728314675200 is an abundant number, since it is smaller than the sum of its proper divisors (2418250685200).

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

728314675200 is an frugal number, since it uses more digits than its factorization.

728314675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 728314675200 in words is "seven hundred twenty-eight billion, three hundred fourteen million, six hundred seventy-five thousand, two hundred".