228789792 has 384 divisors, whose sum is σ = 880588800. Its totient is φ = 55987200.

The previous prime is 228789739. The next prime is 228789829. The reversal of 228789792 is 297987822.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263942 + ... + 1264122.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^228789792 is an apocalyptic number.

228789792 is a gapful number since it is divisible by the number (22) 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 228789792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440294400).

228789792 is an abundant number, since it is smaller than the sum of its proper divisors (651799008).

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

228789792 is a wasteful number, since it uses less digits than its factorization.

228789792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 228789792 is about 15125.7988879927. The cubic root of 228789792 is about 611.6160606078.

The spelling of 228789792 in words is "two hundred twenty-eight million, seven hundred eighty-nine thousand, seven hundred ninety-two".