228842712000 has 1792 divisors, whose sum is σ = 1054442188800. Its totient is φ = 47377612800.

The previous prime is 228842711989. The next prime is 228842712061. The reversal of 228842712000 is 217248822.

228842712000 is a `hidden beast` number, since 2 + 28 + 8 + 427 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 745415847 + ... + 745416153.

It is an arithmetic number, because the mean of its divisors is an integer number (588416400).

Almost surely, 2^228842712000 is an apocalyptic number.

228842712000 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 228842712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527221094400).

228842712000 is an abundant number, since it is smaller than the sum of its proper divisors (825599476800).

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

228842712000 is a wasteful number, since it uses less digits than its factorization.

228842712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 228842712000 in words is "two hundred twenty-eight billion, eight hundred forty-two million, seven hundred twelve thousand".