728813380736 has 128 divisors (see below), whose sum is σ = 1747839360000. Its totient is φ = 302272266240.

The previous prime is 728813380681. The next prime is 728813380741. The reversal of 728813380736 is 637083318827.

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

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 1093280 + ... + 1628768.

It is an arithmetic number, because the mean of its divisors is an integer number (13654995000).

Almost surely, 2^728813380736 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 728813380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873919680000).

728813380736 is an abundant number, since it is smaller than the sum of its proper divisors (1019025979264).

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

728813380736 is an equidigital number, since it uses as much as digits as its factorization.

728813380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535555 (or 535529 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 728813380736 in words is "seven hundred twenty-eight billion, eight hundred thirteen million, three hundred eighty thousand, seven hundred thirty-six".