728170311552 has 128 divisors (see below), whose sum is σ = 2001480516000. Its totient is φ = 234285563904.

The previous prime is 728170311509. The next prime is 728170311569. The reversal of 728170311552 is 255113071827.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 50249524 + ... + 50264012.

Almost surely, 2^728170311552 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 728170311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000740258000).

728170311552 is an abundant number, since it is smaller than the sum of its proper divisors (1273310204448).

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

728170311552 is a wasteful number, since it uses less digits than its factorization.

728170311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19048 (or 19036 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 728170311552 in words is "seven hundred twenty-eight billion, one hundred seventy million, three hundred eleven thousand, five hundred fifty-two".