728206740 has 192 divisors, whose sum is σ = 2397911040. Its totient is φ = 183168000.

The previous prime is 728206669. The next prime is 728206741. The reversal of 728206740 is 47602827.

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

It is a junction number, because it is equal to n+sod(n) for n = 728206695 and 728206704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728206741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685810 + ... + 686870.

It is an arithmetic number, because the mean of its divisors is an integer number (12489120).

Almost surely, 2^728206740 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 728206740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198955520).

728206740 is an abundant number, since it is smaller than the sum of its proper divisors (1669704300).

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

728206740 is a wasteful number, since it uses less digits than its factorization.

728206740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 728206740 is about 26985.3060016002. The cubic root of 728206740 is about 899.6734370773.

The spelling of 728206740 in words is "seven hundred twenty-eight million, two hundred six thousand, seven hundred forty".