728709917019840 has 3136 divisors, whose sum is σ = 3259073685934080. Its totient is φ = 151407304704000.

The previous prime is 728709917019811. The next prime is 728709917019853. The reversal of 728709917019840 is 48910719907827.

728709917019840 is a `hidden beast` number, since 7 + 287 + 0 + 9 + 91 + 70 + 198 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 77596621545 + ... + 77596630935.

Almost surely, 2^{728709917019840} is an apocalyptic number.

728709917019840 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 728709917019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629536842967040).

728709917019840 is an abundant number, since it is smaller than the sum of its proper divisors (2530363768914240).

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

728709917019840 is a wasteful number, since it uses less digits than its factorization.

728709917019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554 (or 9529 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 72.

The spelling of 728709917019840 in words is "seven hundred twenty-eight trillion, seven hundred nine billion, nine hundred seventeen million, nineteen thousand, eight hundred forty".