228941524527840 has 576 divisors, whose sum is σ = 821298439084032. Its totient is φ = 58001011200000.

The previous prime is 228941524527827. The next prime is 228941524527841. The reversal of 228941524527840 is 48725425149822.

228941524527840 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 4 + 1 + 5 + 24 + 527 + 84 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228941524527841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 876197215 + ... + 876458465.

It is an arithmetic number, because the mean of its divisors is an integer number (1425865345632).

Almost surely, 2^{228941524527840} is an apocalyptic number.

228941524527840 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 228941524527840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410649219542016).

228941524527840 is an abundant number, since it is smaller than the sum of its proper divisors (592356914556192).

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

228941524527840 is a wasteful number, since it uses less digits than its factorization.

228941524527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261663 (or 261652 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 228941524527840 in words is "two hundred twenty-eight trillion, nine hundred forty-one billion, five hundred twenty-four million, five hundred twenty-seven thousand, eight hundred forty".