228540928 has 240 divisors, whose sum is σ = 626959872. Its totient is φ = 81100800.

The previous prime is 228540899. The next prime is 228540937. The reversal of 228540928 is 829045822.

It is a happy number.

228540928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×228540928³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7372273 + ... + 7372303.

Almost surely, 2^228540928 is an apocalyptic number.

228540928 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 228540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313479936).

228540928 is an abundant number, since it is smaller than the sum of its proper divisors (398418944).

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

228540928 is a wasteful number, since it uses less digits than its factorization.

228540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 228540928 is about 15117.5701751307. The cubic root of 228540928 is about 611.3942202313.

The spelling of 228540928 in words is "two hundred twenty-eight million, five hundred forty thousand, nine hundred twenty-eight".