728112744 has 96 divisors (see below), whose sum is σ = 2059668000. Its totient is φ = 232073856.

The previous prime is 728112733. The next prime is 728112757. The reversal of 728112744 is 447211827.

728112744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 728112699 and 728112708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221787 + ... + 225045.

It is an arithmetic number, because the mean of its divisors is an integer number (21454875).

Almost surely, 2^728112744 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 728112744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029834000).

728112744 is an abundant number, since it is smaller than the sum of its proper divisors (1331555256).

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

728112744 is a wasteful number, since it uses less digits than its factorization.

728112744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3400 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 728112744 is about 26983.5643309034. The cubic root of 728112744 is about 899.6347258439.

The spelling of 728112744 in words is "seven hundred twenty-eight million, one hundred twelve thousand, seven hundred forty-four".