728892 has 48 divisors (see below), whose sum is σ = 2005920. Its totient is φ = 228096.

The previous prime is 728891. The next prime is 728899. The reversal of 728892 is 298827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728891) 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, 1638 + ... + 2034.

It is an arithmetic number, because the mean of its divisors is an integer number (41790).

2⁷²⁸⁸⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002960).

728892 is an abundant number, since it is smaller than the sum of its proper divisors (1277028).

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

728892 is a wasteful number, since it uses less digits than its factorization.

728892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 728892 is about 853.7517203497. The cubic root of 728892 is about 89.9955553361.

The spelling of 728892 in words is "seven hundred twenty-eight thousand, eight hundred ninety-two".