728442 has 48 divisors (see below), whose sum is σ = 1860768. Its totient is φ = 203040.

The previous prime is 728437. The next prime is 728471. The reversal of 728442 is 244827.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2433 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (38766).

2⁷²⁸⁴⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930384).

728442 is an abundant number, since it is smaller than the sum of its proper divisors (1132326).

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

728442 is a wasteful number, since it uses less digits than its factorization.

728442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 728442 is about 853.4881370002. The cubic root of 728442 is about 89.9770311757.

The spelling of 728442 in words is "seven hundred twenty-eight thousand, four hundred forty-two".