228414528 has 84 divisors (see below), whose sum is σ = 656814028. Its totient is φ = 75893760.

The previous prime is 228414509. The next prime is 228414539. The reversal of 228414528 is 825414822.

It can be written as a sum of positive squares in 2 ways, for example, as 172344384 + 56070144 = 13128^2 + 7488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 228414492 and 228414501.

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, 311250 + ... + 311982.

Almost surely, 2^228414528 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 228414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328407014).

228414528 is an abundant number, since it is smaller than the sum of its proper divisors (428399500).

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

228414528 is a wasteful number, since it uses less digits than its factorization.

228414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1279 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 228414528 is about 15113.3890309222. The cubic root of 228414528 is about 611.2814840696.

The spelling of 228414528 in words is "two hundred twenty-eight million, four hundred fourteen thousand, five hundred twenty-eight".