228648 has 32 divisors (see below), whose sum is σ = 653760. Its totient is φ = 65280.

The previous prime is 228647. The next prime is 228677. The reversal of 228648 is 846822.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228648.

It is not an unprimeable number, because it can be changed into a prime (228647) 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, 513 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (20430).

2²²⁸⁶⁴⁸ is an apocalyptic number.

228648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

228648 is an abundant number, since it is smaller than the sum of its proper divisors (425112).

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

228648 is a wasteful number, since it uses less digits than its factorization.

228648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1373 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 228648 is about 478.1715173450. The cubic root of 228648 is about 61.1489685235.

The spelling of 228648 in words is "two hundred twenty-eight thousand, six hundred forty-eight".