728485543972368 has 1920 divisors, whose sum is σ = 2806023283015680. Its totient is φ = 170956024381440.

The previous prime is 728485543972313. The next prime is 728485543972409. The reversal of 728485543972368 is 863279345584827.

728485543972368 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 8 + 5 + 543 + 9 + 7 + 2 + 3 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 209998713738 + ... + 209998717206.

It is an arithmetic number, because the mean of its divisors is an integer number (1461470459904).

Almost surely, 2^{728485543972368} is an apocalyptic number.

728485543972368 is a gapful number since it is divisible by the number (78) 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 728485543972368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403011641507840).

728485543972368 is an abundant number, since it is smaller than the sum of its proper divisors (2077537739043312).

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

728485543972368 is a wasteful number, since it uses less digits than its factorization.

728485543972368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4236 counting only the distinct ones).

The product of its digits is 19508428800, while the sum is 81.

The spelling of 728485543972368 in words is "seven hundred twenty-eight trillion, four hundred eighty-five billion, five hundred forty-three million, nine hundred seventy-two thousand, three hundred sixty-eight".