228739734720 has 1344 divisors, whose sum is σ = 971364925440. Its totient is φ = 48306585600.

The previous prime is 228739734719. The next prime is 228739734781. The reversal of 228739734720 is 27437937822.

It is a happy number.

228739734720 is a `hidden beast` number, since 2 + 2 + 87 + 3 + 97 + 3 + 472 + 0 = 666.

228739734720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2024245384 + ... + 2024245496.

It is an arithmetic number, because the mean of its divisors is an integer number (722741760).

Almost surely, 2^228739734720 is an apocalyptic number.

228739734720 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 228739734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485682462720).

228739734720 is an abundant number, since it is smaller than the sum of its proper divisors (742625190720).

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

228739734720 is a wasteful number, since it uses less digits than its factorization.

228739734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 228739734720 in words is "two hundred twenty-eight billion, seven hundred thirty-nine million, seven hundred thirty-four thousand, seven hundred twenty".