728357760 has 384 divisors, whose sum is σ = 2766778560. Its totient is φ = 175472640.

The previous prime is 728357717. The next prime is 728357797. The reversal of 728357760 is 67753827.

728357760 is a `hidden beast` number, since 72 + 8 + 3 + 577 + 6 + 0 = 666.

728357760 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 (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316412 + ... + 5316548.

Almost surely, 2^728357760 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 728357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383389280).

728357760 is an abundant number, since it is smaller than the sum of its proper divisors (2038420800).

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

728357760 is a wasteful number, since it uses less digits than its factorization.

728357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 728357760 is about 26988.1040460422. The cubic root of 728357760 is about 899.7356260518.

The spelling of 728357760 in words is "seven hundred twenty-eight million, three hundred fifty-seven thousand, seven hundred sixty".