228013632000 has 1920 divisors, whose sum is σ = 1053985540608. Its totient is φ = 46006272000.

The previous prime is 228013631999. The next prime is 228013632001. The reversal of 228013632000 is 236310822.

228013632000 is a `hidden beast` number, since 2 + 28 + 0 + 1 + 3 + 632 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228013631999) and next prime (228013632001).

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (228013632001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2350655952 + ... + 2350656048.

Almost surely, 2^228013632000 is an apocalyptic number.

228013632000 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 228013632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526992770304).

228013632000 is an abundant number, since it is smaller than the sum of its proper divisors (825971908608).

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

228013632000 is a wasteful number, since it uses less digits than its factorization.

228013632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 228013632000 its reverse (236310822), we get a palindrome (228249942822).

The spelling of 228013632000 in words is "two hundred twenty-eight billion, thirteen million, six hundred thirty-two thousand".