228083688000 has 1568 divisors, whose sum is σ = 1000611875328. Its totient is φ = 50388480000.

The previous prime is 228083687987. The next prime is 228083688017. The reversal of 228083688000 is 886380822.

228083688000 is a `hidden beast` number, since 2 + 280 + 8 + 368 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1510487925 + ... + 1510488075.

Almost surely, 2^228083688000 is an apocalyptic number.

228083688000 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 228083688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500305937664).

228083688000 is an abundant number, since it is smaller than the sum of its proper divisors (772528187328).

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

228083688000 is an equidigital number, since it uses as much as digits as its factorization.

228083688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 228083688000 in words is "two hundred twenty-eight billion, eighty-three million, six hundred eighty-eight thousand".