228021921288 has 1024 divisors, whose sum is σ = 831283200000. Its totient is φ = 57140536320.

The previous prime is 228021921287. The next prime is 228021921301. The reversal of 228021921288 is 882129120822.

228021921288 is a `hidden beast` number, since 2 + 280 + 2 + 1 + 92 + 1 + 288 = 666.

It is not an unprimeable number, because it can be changed into a prime (228021921287) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2091944178 + ... + 2091944286.

It is an arithmetic number, because the mean of its divisors is an integer number (811800000).

Almost surely, 2^228021921288 is an apocalyptic number.

228021921288 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 228021921288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415641600000).

228021921288 is an abundant number, since it is smaller than the sum of its proper divisors (603261278712).

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

228021921288 is a wasteful number, since it uses less digits than its factorization.

228021921288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 228021921288 in words is "two hundred twenty-eight billion, twenty-one million, nine hundred twenty-one thousand, two hundred eighty-eight".