728117306240 has 128 divisors (see below), whose sum is σ = 1814600759040. Its totient is φ = 279060480000.

The previous prime is 728117306239. The next prime is 728117306269. The reversal of 728117306240 is 42603711827.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822160 + ... + 2185520.

It is an arithmetic number, because the mean of its divisors is an integer number (14176568430).

Almost surely, 2^728117306240 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 728117306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907300379520).

728117306240 is an abundant number, since it is smaller than the sum of its proper divisors (1086483452800).

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

728117306240 is a wasteful number, since it uses less digits than its factorization.

728117306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363512 (or 363500 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 728117306240 in words is "seven hundred twenty-eight billion, one hundred seventeen million, three hundred six thousand, two hundred forty".