728952 has 32 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 208224.

The previous prime is 728947. The next prime is 728953. The reversal of 728952 is 259827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728953) 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, 2002 + ... + 2337.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2⁷²⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

728952 is an abundant number, since it is smaller than the sum of its proper divisors (1354248).

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

728952 is a wasteful number, since it uses less digits than its factorization.

728952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4351 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 728952 is about 853.7868586480. The cubic root of 728952 is about 89.9980246480.

The spelling of 728952 in words is "seven hundred twenty-eight thousand, nine hundred fifty-two".