728841 has 16 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 441600.

The previous prime is 728839. The next prime is 728843. The reversal of 728841 is 148827.

728841 = 199² + 200² + ... + 215².

728841 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 (728839) and next prime (728843).

It is not a de Polignac number, because 728841 - 2¹ = 728839 is a prime.

Its product of digits (3584) is a multiple of the sum of its prime divisors (512).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 728799 and 728808.

It is not an unprimeable number, because it can be changed into a prime (728843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

2⁷²⁸⁸⁴¹ is an apocalyptic number.

It is an amenable number.

728841 is a deficient number, since it is larger than the sum of its proper divisors (335607).

728841 is a wasteful number, since it uses less digits than its factorization.

728841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512.

The product of its digits is 3584, while the sum is 30.

The square root of 728841 is about 853.7218516590. The cubic root of 728841 is about 89.9934563144.

The spelling of 728841 in words is "seven hundred twenty-eight thousand, eight hundred forty-one".