728339040 has 576 divisors, whose sum is σ = 3051240192. Its totient is φ = 161740800.

The previous prime is 728339039. The next prime is 728339057. The reversal of 728339040 is 40933827.

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 = 728338986 and 728339004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559775 + ... + 5559905.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2^728339040 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 728339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525620096).

728339040 is an abundant number, since it is smaller than the sum of its proper divisors (2322901152).

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

728339040 is a wasteful number, since it uses less digits than its factorization.

728339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 728339040 is about 26987.7572243416. The cubic root of 728339040 is about 899.7279177541.

The spelling of 728339040 in words is "seven hundred twenty-eight million, three hundred thirty-nine thousand, forty".