228727128 has 32 divisors (see below), whose sum is σ = 653506560. Its totient is φ = 65350560.

The previous prime is 228727123. The next prime is 228727133. The reversal of 228727128 is 821727822.

It is an interprime number because it is at equal distance from previous prime (228727123) and next prime (228727133).

It is a super-3 number, since 3×228727128³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228727123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680568 + ... + 680903.

It is an arithmetic number, because the mean of its divisors is an integer number (20422080).

Almost surely, 2^228727128 is an apocalyptic number.

228727128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

228727128 is an abundant number, since it is smaller than the sum of its proper divisors (424779432).

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

228727128 is a wasteful number, since it uses less digits than its factorization.

228727128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361487 (or 1361483 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 228727128 is about 15123.7273183564. The cubic root of 228727128 is about 611.5602163207.

The spelling of 228727128 in words is "two hundred twenty-eight million, seven hundred twenty-seven thousand, one hundred twenty-eight".