728113205248 has 416 divisors, whose sum is σ = 1835128939392. Its totient is φ = 283744665600.

The previous prime is 728113205207. The next prime is 728113205251. The reversal of 728113205248 is 842502311827.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826461768 + ... + 826462648.

Almost surely, 2^728113205248 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 728113205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917564469696).

728113205248 is an abundant number, since it is smaller than the sum of its proper divisors (1107015734144).

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

728113205248 is a wasteful number, since it uses less digits than its factorization.

728113205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 728113205248 in words is "seven hundred twenty-eight billion, one hundred thirteen million, two hundred five thousand, two hundred forty-eight".