228488040 has 192 divisors, whose sum is σ = 840490560. Its totient is φ = 55365120.

The previous prime is 228488033. The next prime is 228488047. The reversal of 228488040 is 40884822.

It is an interprime number because it is at equal distance from previous prime (228488033) and next prime (228488047).

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 = 228487986 and 228488004.

It is not an unprimeable number, because it can be changed into a prime (228488047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105852 + ... + 107988.

It is an arithmetic number, because the mean of its divisors is an integer number (4377555).

Almost surely, 2^228488040 is an apocalyptic number.

228488040 is a gapful number since it is divisible by the number (20) 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 228488040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420245280).

228488040 is an abundant number, since it is smaller than the sum of its proper divisors (612002520).

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

228488040 is a wasteful number, since it uses less digits than its factorization.

228488040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 228488040 is about 15115.8208510157. The cubic root of 228488040 is about 611.3470544823.

The spelling of 228488040 in words is "two hundred twenty-eight million, four hundred eighty-eight thousand, forty".