728961 has 8 divisors (see below), whose sum is σ = 977760. Its totient is φ = 483072.

The previous prime is 728953. The next prime is 728969. The reversal of 728961 is 169827.

728961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (728953) and next prime (728969).

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

It is not a de Polignac number, because 728961 - 2³ = 728953 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

728961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (728969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

2⁷²⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

728961 is a deficient number, since it is larger than the sum of its proper divisors (248799).

728961 is a wasteful number, since it uses less digits than its factorization.

728961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455.

The product of its digits is 6048, while the sum is 33.

The square root of 728961 is about 853.7921292680. The cubic root of 728961 is about 89.9983950331.

The spelling of 728961 in words is "seven hundred twenty-eight thousand, nine hundred sixty-one".