728606340 has 504 divisors, whose sum is σ = 2930639040. Its totient is φ = 148832640.

The previous prime is 728606327. The next prime is 728606341. The reversal of 728606340 is 43606827.

728606340 is a `hidden beast` number, since 7 + 2 + 8 + 606 + 3 + 40 = 666.

728606340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 728606295 and 728606304.

It is not an unprimeable number, because it can be changed into a prime (728606341) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12349231 + ... + 12349289.

It is an arithmetic number, because the mean of its divisors is an integer number (5814760).

Almost surely, 2^728606340 is an apocalyptic number.

728606340 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728606340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465319520).

728606340 is an abundant number, since it is smaller than the sum of its proper divisors (2202032700).

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

728606340 is a wasteful number, since it uses less digits than its factorization.

728606340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 728606340 is about 26992.7090155842. The cubic root of 728606340 is about 899.8379708312.

The spelling of 728606340 in words is "seven hundred twenty-eight million, six hundred six thousand, three hundred forty".