228479328 has 144 divisors (see below), whose sum is σ = 810141696. Its totient is φ = 59339520.

The previous prime is 228479323. The next prime is 228479353. The reversal of 228479328 is 823974822.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228479323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17025 + ... + 27327.

It is an arithmetic number, because the mean of its divisors is an integer number (5625984).

Almost surely, 2^228479328 is an apocalyptic number.

228479328 is a gapful number since it is divisible by the number (28) 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 228479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405070848).

228479328 is an abundant number, since it is smaller than the sum of its proper divisors (581662368).

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

228479328 is a wasteful number, since it uses less digits than its factorization.

228479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337 (or 10326 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 228479328 is about 15115.5326733794. The cubic root of 228479328 is about 611.3392843846.

The spelling of 228479328 in words is "two hundred twenty-eight million, four hundred seventy-nine thousand, three hundred twenty-eight".