893228 has 48 divisors (see below), whose sum is σ = 1989120. Its totient is φ = 342144.

The previous prime is 893227. The next prime is 893237. The reversal of 893228 is 822398.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 893194 and 893203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893227) 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, 12200 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (41440).

2⁸⁹³²²⁸ 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 893228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994560).

893228 is an abundant number, since it is smaller than the sum of its proper divisors (1095892).

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

893228 is a wasteful number, since it uses less digits than its factorization.

893228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 893228 is about 945.1074013042. The cubic root of 893228 is about 96.3061694968.

The spelling of 893228 in words is "eight hundred ninety-three thousand, two hundred twenty-eight".