228920640000 has 1200 divisors, whose sum is σ = 884279464992. Its totient is φ = 52396032000.

The previous prime is 228920639971. The next prime is 228920640007. The reversal of 228920640000 is 46029822.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228920640007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2758079959 + ... + 2758080041.

Almost surely, 2^228920640000 is an apocalyptic number.

228920640000 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 228920640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442139732496).

228920640000 is an abundant number, since it is smaller than the sum of its proper divisors (655358824992).

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

228920640000 is an equidigital number, since it uses as much as digits as its factorization.

228920640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 228920640000 its reverse (46029822), we get a palindrome (228966669822).

The spelling of 228920640000 in words is "two hundred twenty-eight billion, nine hundred twenty million, six hundred forty thousand".