728838 has 40 divisors (see below), whose sum is σ = 1785960. Its totient is φ = 220320.

The previous prime is 728837. The next prime is 728839. The reversal of 728838 is 838827.

728838 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 (728837) and next prime (728839).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728831) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1578 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (44649).

2⁷²⁸⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892980).

728838 is an abundant number, since it is smaller than the sum of its proper divisors (1057122).

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

728838 is a wasteful number, since it uses less digits than its factorization.

728838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 728838 is about 853.7200946446. The cubic root of 728838 is about 89.9933328394.

The spelling of 728838 in words is "seven hundred twenty-eight thousand, eight hundred thirty-eight".