728246419200 has 432 divisors, whose sum is σ = 2676847663840. Its totient is φ = 193730641920.

The previous prime is 728246419189. The next prime is 728246419217. The reversal of 728246419200 is 2914642827.

728246419200 is a `hidden beast` number, since 7 + 2 + 8 + 24 + 6 + 419 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74817534 + ... + 74827266.

Almost surely, 2^728246419200 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 728246419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338423831920).

728246419200 is an abundant number, since it is smaller than the sum of its proper divisors (1948601244640).

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

728246419200 is a wasteful number, since it uses less digits than its factorization.

728246419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 728246419200 in words is "seven hundred twenty-eight billion, two hundred forty-six million, four hundred nineteen thousand, two hundred".