728449920 has 192 divisors, whose sum is σ = 2744342640. Its totient is φ = 176578560.

The previous prime is 728449913. The next prime is 728449963. The reversal of 728449920 is 29944827.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 57612 + ... + 69108.

Almost surely, 2^728449920 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 728449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372171320).

728449920 is an abundant number, since it is smaller than the sum of its proper divisors (2015892720).

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

728449920 is a wasteful number, since it uses less digits than its factorization.

728449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11533 (or 11518 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 728449920 is about 26989.8114109751. The cubic root of 728449920 is about 899.7735726685.

The spelling of 728449920 in words is "seven hundred twenty-eight million, four hundred forty-nine thousand, nine hundred twenty".