228326693760 has 384 divisors, whose sum is σ = 861630981120. Its totient is φ = 55254528000.

The previous prime is 228326693753. The next prime is 228326693827. The reversal of 228326693760 is 67396623822.

228326693760 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 266 + 9 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 228326693697 and 228326693706.

It is a congruent number.

It is an unprimeable number.

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, 39977305 + ... + 39983015.

It is an arithmetic number, because the mean of its divisors is an integer number (2243830680).

Almost surely, 2^228326693760 is an apocalyptic number.

228326693760 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 228326693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430815490560).

228326693760 is an abundant number, since it is smaller than the sum of its proper divisors (633304287360).

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

228326693760 is a wasteful number, since it uses less digits than its factorization.

228326693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 228326693760 in words is "two hundred twenty-eight billion, three hundred twenty-six million, six hundred ninety-three thousand, seven hundred sixty".