728180736 has 96 divisors (see below), whose sum is σ = 2026140480. Its totient is φ = 232128512.

The previous prime is 728180699. The next prime is 728180741. The reversal of 728180736 is 637081827.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138736 + ... + 143888.

It is an arithmetic number, because the mean of its divisors is an integer number (21105630).

Almost surely, 2^728180736 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 728180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013070240).

728180736 is an abundant number, since it is smaller than the sum of its proper divisors (1297959744).

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

728180736 is a wasteful number, since it uses less digits than its factorization.

728180736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 728180736 is about 26984.8241795273. The cubic root of 728180736 is about 899.6627279452.

The spelling of 728180736 in words is "seven hundred twenty-eight million, one hundred eighty thousand, seven hundred thirty-six".