728113536 has 240 divisors, whose sum is σ = 2311286340. Its totient is φ = 228427776.

The previous prime is 728113517. The next prime is 728113541. The reversal of 728113536 is 635311827.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

728113536 is a `hidden beast` number, since 7 + 2 + 8 + 113 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 728113536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42830200 + ... + 42830216.

Almost surely, 2^728113536 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 728113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155643170).

728113536 is an abundant number, since it is smaller than the sum of its proper divisors (1583172804).

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

728113536 is an frugal number, since it uses more digits than its factorization.

728113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 22 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 728113536 is about 26983.5790064995. The cubic root of 728113536 is about 899.6350520344.

The spelling of 728113536 in words is "seven hundred twenty-eight million, one hundred thirteen thousand, five hundred thirty-six".