728174396560 has 240 divisors, whose sum is σ = 1934512968960. Its totient is φ = 254084014080.

The previous prime is 728174396539. The next prime is 728174396567. The reversal of 728174396560 is 65693471827.

It is a junction number, because it is equal to n+sod(n) for n = 728174396495 and 728174396504.

It is not an unprimeable number, because it can be changed into a prime (728174396567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110711992 + ... + 110718568.

It is an arithmetic number, because the mean of its divisors is an integer number (8060470704).

It is a 2-persistent number, because it is pandigital, and so is 2⋅728174396560 = 1456348793120, but 3⋅728174396560 = 2184523189680 is not.

Almost surely, 2^728174396560 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 728174396560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967256484480).

728174396560 is an abundant number, since it is smaller than the sum of its proper divisors (1206338572400).

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

728174396560 is a wasteful number, since it uses less digits than its factorization.

728174396560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 728174396560 in words is "seven hundred twenty-eight billion, one hundred seventy-four million, three hundred ninety-six thousand, five hundred sixty".