228584789280 has 288 divisors, whose sum is σ = 809890099200. Its totient is φ = 58646661120.

The previous prime is 228584789269. The next prime is 228584789287. The reversal of 228584789280 is 82987485822.

228584789280 is a `hidden beast` number, since 2 + 2 + 85 + 8 + 478 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (228584789287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7707921 + ... + 7737519.

It is an arithmetic number, because the mean of its divisors is an integer number (2812118400).

Almost surely, 2^228584789280 is an apocalyptic number.

228584789280 is a gapful number since it is divisible by the number (20) 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 228584789280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404945049600).

228584789280 is an abundant number, since it is smaller than the sum of its proper divisors (581305309920).

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

228584789280 is a wasteful number, since it uses less digits than its factorization.

228584789280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29824 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 228584789280 in words is "two hundred twenty-eight billion, five hundred eighty-four million, seven hundred eighty-nine thousand, two hundred eighty".