228648960 has 192 divisors, whose sum is σ = 813758400. Its totient is φ = 60899328.

The previous prime is 228648947. The next prime is 228648967. The reversal of 228648960 is 69846822.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228648967) 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, 276067 + ... + 276893.

It is an arithmetic number, because the mean of its divisors is an integer number (4238325).

Almost surely, 2^228648960 is an apocalyptic number.

228648960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406879200).

228648960 is an abundant number, since it is smaller than the sum of its proper divisors (585109440).

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

228648960 is an equidigital number, since it uses as much as digits as its factorization.

228648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 228648960 is about 15121.1428139542. The cubic root of 228648960 is about 611.4905410324.

The spelling of 228648960 in words is "two hundred twenty-eight million, six hundred forty-eight thousand, nine hundred sixty".