228093788160 has 1088 divisors, whose sum is σ = 966360268800. Its totient is φ = 49941577728.

The previous prime is 228093788141. The next prime is 228093788177. The reversal of 228093788160 is 61887390822.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 228093788097 and 228093788106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796014017 + ... + 1796014143.

Almost surely, 2^228093788160 is an apocalyptic number.

228093788160 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 228093788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483180134400).

228093788160 is an abundant number, since it is smaller than the sum of its proper divisors (738266480640).

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

228093788160 is an equidigital number, since it uses as much as digits as its factorization.

228093788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 228093788160 in words is "two hundred twenty-eight billion, ninety-three million, seven hundred eighty-eight thousand, one hundred sixty".