228284928 has 120 divisors (see below), whose sum is σ = 666439488. Its totient is φ = 75220992.

The previous prime is 228284921. The next prime is 228285059. The reversal of 228284928 is 829482822.

It is a super-2 number, since 2×228284928² = 104228016703930368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228284921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492825 + ... + 493287.

Almost surely, 2^228284928 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 228284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333219744).

228284928 is an abundant number, since it is smaller than the sum of its proper divisors (438154560).

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

228284928 is a wasteful number, since it uses less digits than its factorization.

228284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 575 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 228284928 is about 15109.1008336036. The cubic root of 228284928 is about 611.1658506363.

It can be divided in two parts, 228 and 284928, that added together give a square (285156 = 534²).

The spelling of 228284928 in words is "two hundred twenty-eight million, two hundred eighty-four thousand, nine hundred twenty-eight".