228083688 has 224 divisors, whose sum is σ = 757580160. Its totient is φ = 62985600.

The previous prime is 228083683. The next prime is 228083689. The reversal of 228083688 is 886380822.

228083688 is a `hidden beast` number, since 2 + 280 + 8 + 368 + 8 = 666.

228083688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228083683) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1510413 + ... + 1510563.

Almost surely, 2^228083688 is an apocalyptic number.

228083688 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 228083688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378790080).

228083688 is an abundant number, since it is smaller than the sum of its proper divisors (529496472).

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

228083688 is a wasteful number, since it uses less digits than its factorization.

228083688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 228083688 is about 15102.4398028928. The cubic root of 228083688 is about 610.9862108404.

The spelling of 228083688 in words is "two hundred twenty-eight million, eighty-three thousand, six hundred eighty-eight".