228979584 has 96 divisors (see below), whose sum is σ = 665121600. Its totient is φ = 75608064.

The previous prime is 228979577. The next prime is 228979591. The reversal of 228979584 is 485979822.

228979584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228979577) and next prime (228979591).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 228979584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129297 + ... + 131055.

It is an arithmetic number, because the mean of its divisors is an integer number (6928350).

Almost surely, 2^228979584 is an apocalyptic number.

228979584 is a gapful number since it is divisible by the number (24) 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 228979584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332560800).

228979584 is an abundant number, since it is smaller than the sum of its proper divisors (436142016).

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

228979584 is a wasteful number, since it uses less digits than its factorization.

228979584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1877 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 228979584 is about 15132.0713717587. The cubic root of 228979584 is about 611.7851353892.

The spelling of 228979584 in words is "two hundred twenty-eight million, nine hundred seventy-nine thousand, five hundred eighty-four".