228290390784 has 108 divisors (see below), whose sum is σ = 659245421016. Its totient is φ = 75977957376.

The previous prime is 228290390761. The next prime is 228290390791. The reversal of 228290390784 is 487093092822.

It is a happy number.

228290390784 is a `hidden beast` number, since 22 + 82 + 90 + 390 + 78 + 4 = 666.

It is a super-2 number, since 2×228290390784² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228290390784.

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 11 ways as a sum of consecutive naturals, for example, 1404424 + ... + 1558520.

Almost surely, 2^228290390784 is an apocalyptic number.

228290390784 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 228290390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329622710508).

228290390784 is an abundant number, since it is smaller than the sum of its proper divisors (430955030232).

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

228290390784 is a wasteful number, since it uses less digits than its factorization.

228290390784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154762 (or 154745 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 228290390784 in words is "two hundred twenty-eight billion, two hundred ninety million, three hundred ninety thousand, seven hundred eighty-four".