228248272 has 60 divisors (see below), whose sum is σ = 516529440. Its totient is φ = 97422528.

The previous prime is 228248269. The next prime is 228248281. The reversal of 228248272 is 272842822.

228248272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×228248272³ (a number of 26 digits) contains 333 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271629 + ... + 272467.

It is an arithmetic number, because the mean of its divisors is an integer number (8608824).

Almost surely, 2^228248272 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 228248272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258264720).

228248272 is an abundant number, since it is smaller than the sum of its proper divisors (288281168).

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

228248272 is a wasteful number, since it uses less digits than its factorization.

228248272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1195 counting only the distinct ones).

The product of its digits is 57344, while the sum is 37.

The square root of 228248272 is about 15107.8877411768. The cubic root of 228248272 is about 611.1331369937.

The spelling of 228248272 in words is "two hundred twenty-eight million, two hundred forty-eight thousand, two hundred seventy-two".