728305434160956 has 216 divisors, whose sum is σ = 1961667839607840. Its totient is φ = 227374777377792.

The previous prime is 728305434160949. The next prime is 728305434160991. The reversal of 728305434160956 is 659061434503827.

728305434160956 is a `hidden beast` number, since 7 + 2 + 8 + 30 + 5 + 434 + 160 + 9 + 5 + 6 = 666.

It is a super-2 number, since 2×728305434160956² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 728305434160893 and 728305434160902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781332640 + ... + 782264216.

It is an arithmetic number, because the mean of its divisors is an integer number (9081795553740).

It is a 1-persistent number, because it is pandigital, but 2⋅728305434160956 = 1456610868321912 is not.

Almost surely, 2^{728305434160956} 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 728305434160956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980833919803920).

728305434160956 is an abundant number, since it is smaller than the sum of its proper divisors (1233362405446884).

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

728305434160956 is a wasteful number, since it uses less digits than its factorization.

728305434160956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931905 (or 931797 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 728305434160956 in words is "seven hundred twenty-eight trillion, three hundred five billion, four hundred thirty-four million, one hundred sixty thousand, nine hundred fifty-six".