228339072 has 192 divisors, whose sum is σ = 720283200. Its totient is φ = 69009408.

The previous prime is 228339071. The next prime is 228339079. The reversal of 228339072 is 270933822.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228339071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183008 + ... + 1183200.

It is an arithmetic number, because the mean of its divisors is an integer number (3751475).

Almost surely, 2^228339072 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 228339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360141600).

228339072 is an abundant number, since it is smaller than the sum of its proper divisors (491944128).

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

228339072 is a wasteful number, since it uses less digits than its factorization.

228339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 228339072 is about 15110.8924951506. The cubic root of 228339072 is about 611.2141650363.

The spelling of 228339072 in words is "two hundred twenty-eight million, three hundred thirty-nine thousand, seventy-two".