228288340 has 96 divisors (see below), whose sum is σ = 590413824. Its totient is φ = 72420480.

The previous prime is 228288337. The next prime is 228288349. The reversal of 228288340 is 43882822.

It is a self number, because there is not a number n which added to its sum of digits gives 228288340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228288349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98677 + ... + 100963.

It is an arithmetic number, because the mean of its divisors is an integer number (6150144).

Almost surely, 2^228288340 is an apocalyptic number.

228288340 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 228288340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295206912).

228288340 is an abundant number, since it is smaller than the sum of its proper divisors (362125484).

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

228288340 is a wasteful number, since it uses less digits than its factorization.

228288340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 228288340 is about 15109.2137452615. The cubic root of 228288340 is about 611.1688954971.

The spelling of 228288340 in words is "two hundred twenty-eight million, two hundred eighty-eight thousand, three hundred forty".