728933324352 has 224 divisors, whose sum is σ = 2072474188800. Its totient is φ = 225430013952.

The previous prime is 728933324321. The next prime is 728933324377. The reversal of 728933324352 is 253423339827.

It is a junction number, because it is equal to n+sod(n) for n = 728933324295 and 728933324304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42275349 + ... + 42292587.

Almost surely, 2^728933324352 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 728933324352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036237094400).

728933324352 is an abundant number, since it is smaller than the sum of its proper divisors (1343540864448).

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

728933324352 is a wasteful number, since it uses less digits than its factorization.

728933324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17513 (or 17503 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 51.

The spelling of 728933324352 in words is "seven hundred twenty-eight billion, nine hundred thirty-three million, three hundred twenty-four thousand, three hundred fifty-two".