728801 has 4 divisors (see below), whose sum is σ = 760512. Its totient is φ = 697092.

The previous prime is 728771. The next prime is 728809. The reversal of 728801 is 108827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 728801 - 2¹⁰ = 727777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728809) 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 3 ways as a sum of consecutive naturals, for example, 15821 + ... + 15866.

It is an arithmetic number, because the mean of its divisors is an integer number (190128).

2⁷²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

728801 is a deficient number, since it is larger than the sum of its proper divisors (31711).

728801 is a wasteful number, since it uses less digits than its factorization.

728801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31710.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 728801 is about 853.6984245036. The cubic root of 728801 is about 89.9918099543.

Adding to 728801 its sum of digits (26), we get a palindrome (728827).

The spelling of 728801 in words is "seven hundred twenty-eight thousand, eight hundred one".