228642588 has 144 divisors (see below), whose sum is σ = 645581664. Its totient is φ = 70502400.

The previous prime is 228642587. The next prime is 228642611. The reversal of 228642588 is 885246822.

228642588 is a `hidden beast` number, since 2 + 2 + 8 + 64 + 2 + 588 = 666.

228642588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228642587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1668856 + ... + 1668992.

It is an arithmetic number, because the mean of its divisors is an integer number (4483206).

Almost surely, 2^228642588 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 228642588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322790832).

228642588 is an abundant number, since it is smaller than the sum of its proper divisors (416939076).

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

228642588 is a wasteful number, since it uses less digits than its factorization.

228642588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 228642588 is about 15120.9321141258. The cubic root of 228642588 is about 611.4848606305.

It can be divided in two parts, 22864 and 2588, that added together give a palindrome (25452).

The spelling of 228642588 in words is "two hundred twenty-eight million, six hundred forty-two thousand, five hundred eighty-eight".