228940735872 has 256 divisors, whose sum is σ = 636060902400. Its totient is φ = 72893841408.

The previous prime is 228940735871. The next prime is 228940735901. The reversal of 228940735872 is 278537049822.

228940735872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×228940735872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228940735871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318415129 + ... + 318415847.

It is an arithmetic number, because the mean of its divisors is an integer number (2484612900).

Almost surely, 2^228940735872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228940735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318030451200).

228940735872 is an abundant number, since it is smaller than the sum of its proper divisors (407120166528).

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

228940735872 is a wasteful number, since it uses less digits than its factorization.

228940735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 228940735872 in words is "two hundred twenty-eight billion, nine hundred forty million, seven hundred thirty-five thousand, eight hundred seventy-two".