228162816 has 324 divisors, whose sum is σ = 799710912. Its totient is φ = 62318592.

The previous prime is 228162793. The next prime is 228162871. The reversal of 228162816 is 618261822.

228162816 is a `hidden beast` number, since 2 + 28 + 1 + 628 + 1 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4854505 + ... + 4854551.

Almost surely, 2^228162816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399855456).

228162816 is an abundant number, since it is smaller than the sum of its proper divisors (571548096).

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

228162816 is a wasteful number, since it uses less digits than its factorization.

228162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 228162816 is about 15105.0592848886. The cubic root of 228162816 is about 611.0568581944.

The spelling of 228162816 in words is "two hundred twenty-eight million, one hundred sixty-two thousand, eight hundred sixteen".