728580645 has 96 divisors (see below), whose sum is σ = 1464843744. Its totient is φ = 331776000.

The previous prime is 728580617. The next prime is 728580649. The reversal of 728580645 is 546085827.

728580645 is a `hidden beast` number, since 7 + 2 + 8 + 580 + 64 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 625700196 + 102880449 = 25014^2 + 10143^2 .

It is not a de Polignac number, because 728580645 - 2⁹ = 728580133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 728580645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728580649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606045 + ... + 607245.

It is an arithmetic number, because the mean of its divisors is an integer number (15258789).

Almost surely, 2^728580645 is an apocalyptic number.

It is an amenable number.

728580645 is an abundant number, since it is smaller than the sum of its proper divisors (736263099).

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

728580645 is a wasteful number, since it uses less digits than its factorization.

728580645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 728580645 is about 26992.2330495274. The cubic root of 728580645 is about 899.8273928244.

The spelling of 728580645 in words is "seven hundred twenty-eight million, five hundred eighty thousand, six hundred forty-five".