728451904 has 56 divisors (see below), whose sum is σ = 1535231880. Its totient is φ = 341753856.

The previous prime is 728451881. The next prime is 728451931. The reversal of 728451904 is 409154827.

It can be written as a sum of positive squares in 4 ways, for example, as 154753600 + 573698304 = 12440^2 + 23952^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444174 + ... + 445810.

It is an arithmetic number, because the mean of its divisors is an integer number (27414855).

Almost surely, 2^728451904 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 728451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767615940).

728451904 is an abundant number, since it is smaller than the sum of its proper divisors (806779976).

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

728451904 is a wasteful number, since it uses less digits than its factorization.

728451904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 728451904 is about 26989.8481655603. The cubic root of 728451904 is about 899.7743895396.

The spelling of 728451904 in words is "seven hundred twenty-eight million, four hundred fifty-one thousand, nine hundred four".