228779632224 has 336 divisors, whose sum is σ = 793377973584. Its totient is φ = 63993369600.

The previous prime is 228779632223. The next prime is 228779632231. The reversal of 228779632224 is 422236977822.

228779632224 is a `hidden beast` number, since 228 + 7 + 7 + 96 + 322 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228779632223) 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, 3301614 + ... + 3370194.

It is an arithmetic number, because the mean of its divisors is an integer number (2361243969).

Almost surely, 2^228779632224 is an apocalyptic number.

228779632224 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 228779632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396688986792).

228779632224 is an abundant number, since it is smaller than the sum of its proper divisors (564598341360).

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

228779632224 is a wasteful number, since it uses less digits than its factorization.

228779632224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68633 (or 68610 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 228779632224 in words is "two hundred twenty-eight billion, seven hundred seventy-nine million, six hundred thirty-two thousand, two hundred twenty-four".