728435520 has 336 divisors, whose sum is σ = 2662732800. Its totient is φ = 182476800.

The previous prime is 728435501. The next prime is 728435573. The reversal of 728435520 is 25534827.

728435520 is a `hidden beast` number, since 7 + 284 + 355 + 20 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 3660381 + ... + 3660579.

It is an arithmetic number, because the mean of its divisors is an integer number (7924800).

Almost surely, 2^728435520 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 728435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331366400).

728435520 is an abundant number, since it is smaller than the sum of its proper divisors (1934297280).

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

728435520 is a wasteful number, since it uses less digits than its factorization.

728435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 728435520 is about 26989.5446423240. The cubic root of 728435520 is about 899.7676437206.

The spelling of 728435520 in words is "seven hundred twenty-eight million, four hundred thirty-five thousand, five hundred twenty".