728314947360 has 1920 divisors, whose sum is σ = 3564385026048. Its totient is φ = 135115776000.

The previous prime is 728314947317. The next prime is 728314947413. The reversal of 728314947360 is 63749413827.

728314947360 is a `hidden beast` number, since 7 + 2 + 83 + 1 + 494 + 73 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 728314947297 and 728314947306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 402160855 + ... + 402162665.

Almost surely, 2^728314947360 is an apocalyptic number.

728314947360 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 728314947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782192513024).

728314947360 is an abundant number, since it is smaller than the sum of its proper divisors (2836070078688).

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

728314947360 is a wasteful number, since it uses less digits than its factorization.

728314947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 728314947360 in words is "seven hundred twenty-eight billion, three hundred fourteen million, nine hundred forty-seven thousand, three hundred sixty".