728010 has 24 divisors (see below), whose sum is σ = 1893060. Its totient is φ = 194112.

The previous prime is 728003. The next prime is 728017. The reversal of 728010 is 10827.

It is an interprime number because it is at equal distance from previous prime (728003) and next prime (728017).

It can be written as a sum of positive squares in 2 ways, for example, as 613089 + 114921 = 783^2 + 339^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (728017) 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 11 ways as a sum of consecutive naturals, for example, 3955 + ... + 4134.

2⁷²⁸⁰¹⁰ is an apocalyptic number.

728010 is an abundant number, since it is smaller than the sum of its proper divisors (1165050).

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

728010 is a wasteful number, since it uses less digits than its factorization.

728010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 728010 is about 853.2350203783. The cubic root of 728010 is about 89.9592408030.

Adding to 728010 its reverse (10827), we get a palindrome (738837).

The spelling of 728010 in words is "seven hundred twenty-eight thousand, ten".