728302318168320 has 1728 divisors, whose sum is σ = 3106108499558400. Its totient is φ = 160958332846080.

The previous prime is 728302318168279. The next prime is 728302318168343. The reversal of 728302318168320 is 23861813203827.

728302318168320 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 0 + 231 + 81 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67143197137 + ... + 67143207983.

It is an arithmetic number, because the mean of its divisors is an integer number (1797516492800).

Almost surely, 2^{728302318168320} is an apocalyptic number.

728302318168320 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 728302318168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553054249779200).

728302318168320 is an abundant number, since it is smaller than the sum of its proper divisors (2377806181390080).

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

728302318168320 is a wasteful number, since it uses less digits than its factorization.

728302318168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12201 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 728302318168320 in words is "seven hundred twenty-eight trillion, three hundred two billion, three hundred eighteen million, one hundred sixty-eight thousand, three hundred twenty".