728051613696 has 432 divisors, whose sum is σ = 2416035716640. Its totient is φ = 208939253760.

The previous prime is 728051613607. The next prime is 728051613713. The reversal of 728051613696 is 696316150827.

728051613696 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 516 + 1 + 36 + 96 = 666.

It is a super-2 number, since 2×728051613696² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246544956 + ... + 246547908.

It is an arithmetic number, because the mean of its divisors is an integer number (5592675270).

Almost surely, 2^728051613696 is an apocalyptic number.

728051613696 is a gapful number since it is divisible by the number (76) 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 728051613696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208017858320).

728051613696 is an abundant number, since it is smaller than the sum of its proper divisors (1687984102944).

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

728051613696 is a wasteful number, since it uses less digits than its factorization.

728051613696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 728051613696 in words is "seven hundred twenty-eight billion, fifty-one million, six hundred thirteen thousand, six hundred ninety-six".