228963904 has 42 divisors (see below), whose sum is σ = 492011970. Its totient is φ = 105670656.

The previous prime is 228963899. The next prime is 228963937. The reversal of 228963904 is 409369822.

It can be written as a sum of positive squares in 3 ways, for example, as 21603904 + 207360000 = 4648^2 + 14400^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 232 + ... + 21400.

Almost surely, 2^228963904 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 228963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246005985).

228963904 is an abundant number, since it is smaller than the sum of its proper divisors (263048066).

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

228963904 is a wasteful number, since it uses less digits than its factorization.

228963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21207 (or 21184 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 228963904 is about 15131.5532580102. The cubic root of 228963904 is about 611.7711705199.

The spelling of 228963904 in words is "two hundred twenty-eight million, nine hundred sixty-three thousand, nine hundred four".