728358048 has 144 divisors (see below), whose sum is σ = 2335394880. Its totient is φ = 220682880.

The previous prime is 728358023. The next prime is 728358067. The reversal of 728358048 is 840853827.

728358048 is a `hidden beast` number, since 7 + 28 + 3 + 580 + 48 = 666.

728358048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 728357994 and 728358012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101061 + ... + 108027.

It is an arithmetic number, because the mean of its divisors is an integer number (16218020).

Almost surely, 2^728358048 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 728358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167697440).

728358048 is an abundant number, since it is smaller than the sum of its proper divisors (1607036832).

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

728358048 is a wasteful number, since it uses less digits than its factorization.

728358048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 728358048 is about 26988.1093817259. The cubic root of 728358048 is about 899.7357446399.

The spelling of 728358048 in words is "seven hundred twenty-eight million, three hundred fifty-eight thousand, forty-eight".