238828224 has 112 divisors (see below), whose sum is σ = 665683200. Its totient is φ = 75457536.

The previous prime is 238828171. The next prime is 238828231. The reversal of 238828224 is 422828832.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328149 + ... + 328875.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^238828224 is an apocalyptic number.

238828224 is a gapful number since it is divisible by the number (24) 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 238828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332841600).

238828224 is an abundant number, since it is smaller than the sum of its proper divisors (426854976).

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

238828224 is a wasteful number, since it uses less digits than its factorization.

238828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 238828224 is about 15454.0682022566. The cubic root of 238828224 is about 620.4334672528.

The spelling of 238828224 in words is "two hundred thirty-eight million, eight hundred twenty-eight thousand, two hundred twenty-four".