728358120 has 96 divisors (see below), whose sum is σ = 2705339520. Its totient is φ = 166481280.

The previous prime is 728358083. The next prime is 728358121. The reversal of 728358120 is 21853827.

728358120 is a `hidden beast` number, since 72 + 8 + 3 + 581 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (728358121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141996 + ... + 147035.

It is an arithmetic number, because the mean of its divisors is an integer number (28180620).

Almost surely, 2^728358120 is an apocalyptic number.

728358120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

728358120 is an abundant number, since it is smaller than the sum of its proper divisors (1976981400).

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

728358120 is a wasteful number, since it uses less digits than its factorization.

728358120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289055 (or 289048 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 728358120 is about 26988.1107156466. The cubic root of 728358120 is about 899.7357742870.

The spelling of 728358120 in words is "seven hundred twenty-eight million, three hundred fifty-eight thousand, one hundred twenty".