728031744 has 240 divisors, whose sum is σ = 2344028544. Its totient is φ = 215654400.

The previous prime is 728031743. The next prime is 728031751. The reversal of 728031744 is 447130827.

It is a happy number.

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 = 728031699 and 728031708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728031743) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2686329 + ... + 2686599.

Almost surely, 2^728031744 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 728031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172014272).

728031744 is an abundant number, since it is smaller than the sum of its proper divisors (1615996800).

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

728031744 is a wasteful number, since it uses less digits than its factorization.

728031744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 728031744 is about 26982.0633755093. The cubic root of 728031744 is about 899.6013641996.

It can be divided in two parts, 72803 and 1744, that added together give a palindrome (74547).

The spelling of 728031744 in words is "seven hundred twenty-eight million, thirty-one thousand, seven hundred forty-four".