228929168 has 40 divisors (see below), whose sum is σ = 484245048. Its totient is φ = 104205312.

The previous prime is 228929167. The next prime is 228929201. The reversal of 228929168 is 861929822.

It can be written as a sum of positive squares in 4 ways, for example, as 1281424 + 227647744 = 1132^2 + 15088^2 .

It is a super-2 number, since 2×228929168² = 104817127922344448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228929167) 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 7 ways as a sum of consecutive naturals, for example, 7646 + ... + 22722.

Almost surely, 2^228929168 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 228929168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242122524).

228929168 is an abundant number, since it is smaller than the sum of its proper divisors (255315880).

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

228929168 is a wasteful number, since it uses less digits than its factorization.

228929168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15171 (or 15165 counting only the distinct ones).

The product of its digits is 248832, while the sum is 47.

The square root of 228929168 is about 15130.4054142644. The cubic root of 228929168 is about 611.7402317886.

The spelling of 228929168 in words is "two hundred twenty-eight million, nine hundred twenty-nine thousand, one hundred sixty-eight".