228265128 has 320 divisors, whose sum is σ = 813120000. Its totient is φ = 59439744.

The previous prime is 228265127. The next prime is 228265129. The reversal of 228265128 is 821562822.

It is an interprime number because it is at equal distance from previous prime (228265127) and next prime (228265129).

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 = 228265092 and 228265101.

It is not an unprimeable number, because it can be changed into a prime (228265127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2889393 + ... + 2889471.

It is an arithmetic number, because the mean of its divisors is an integer number (2541000).

Almost surely, 2^228265128 is an apocalyptic number.

228265128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228265128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406560000).

228265128 is an abundant number, since it is smaller than the sum of its proper divisors (584854872).

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

228265128 is a wasteful number, since it uses less digits than its factorization.

228265128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 228265128 is about 15108.4455851686. The cubic root of 228265128 is about 611.1481805637.

It can be divided in two parts, 228 and 265128, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 228265128 in words is "two hundred twenty-eight million, two hundred sixty-five thousand, one hundred twenty-eight".