228932704000 has 864 divisors, whose sum is σ = 780154345152. Its totient is φ = 65802240000.

The previous prime is 228932703941. The next prime is 228932704003. The reversal of 228932704000 is 407239822.

228932704000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228932704003) 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 95 ways as a sum of consecutive naturals, for example, 224223490 + ... + 224224510.

It is an arithmetic number, because the mean of its divisors is an integer number (902956418).

Almost surely, 2^228932704000 is an apocalyptic number.

228932704000 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 228932704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390077172576).

228932704000 is an abundant number, since it is smaller than the sum of its proper divisors (551221641152).

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

228932704000 is a wasteful number, since it uses less digits than its factorization.

228932704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 228932704000 in words is "two hundred twenty-eight billion, nine hundred thirty-two million, seven hundred four thousand".