728977 has 8 divisors (see below), whose sum is σ = 779976. Its totient is φ = 678912.

The previous prime is 728971. The next prime is 728993. The reversal of 728977 is 779827.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 690561 = 196^2 + 831^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 728977 - 2³ = 728969 is a prime.

It is a Duffinian number.

728977 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728971) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2173 + ... + 2485.

It is an arithmetic number, because the mean of its divisors is an integer number (97497).

2⁷²⁸⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

728977 is a deficient number, since it is larger than the sum of its proper divisors (50999).

728977 is a wasteful number, since it uses less digits than its factorization.

728977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 49392, while the sum is 40.

The square root of 728977 is about 853.8014991788. The cubic root of 728977 is about 89.9990534880. Note that the first 3 decimals are identical.

The spelling of 728977 in words is "seven hundred twenty-eight thousand, nine hundred seventy-seven".