728414501760 has 1536 divisors, whose sum is σ = 3015233424000. Its totient is φ = 165770035200.

The previous prime is 728414501747. The next prime is 728414501777. The reversal of 728414501760 is 67105414827.

728414501760 is a `hidden beast` number, since 7 + 2 + 84 + 1 + 4 + 501 + 7 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2486056174 + ... + 2486056466.

Almost surely, 2^728414501760 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 728414501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507616712000).

728414501760 is an abundant number, since it is smaller than the sum of its proper divisors (2286818922240).

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

728414501760 is a wasteful number, since it uses less digits than its factorization.

728414501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 728414501760 in words is "seven hundred twenty-eight billion, four hundred fourteen million, five hundred one thousand, seven hundred sixty".