228413952 has 320 divisors, whose sum is σ = 769950720. Its totient is φ = 66355200.

The previous prime is 228413929. The next prime is 228413959. The reversal of 228413952 is 259314822.

It is a happy number.

228413952 is a `hidden beast` number, since 228 + 41 + 395 + 2 = 666.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228413959) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5571052 + ... + 5571092.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^228413952 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 228413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

228413952 is an abundant number, since it is smaller than the sum of its proper divisors (541536768).

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

228413952 is a wasteful number, since it uses less digits than its factorization.

228413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 228413952 is about 15113.3699749593. The cubic root of 228413952 is about 611.2809702401.

The spelling of 228413952 in words is "two hundred twenty-eight million, four hundred thirteen thousand, nine hundred fifty-two".