228620320 has 48 divisors (see below), whose sum is σ = 544416768. Its totient is φ = 90720000.

The previous prime is 228620309. The next prime is 228620321. The reversal of 228620320 is 23026822.

It is not an unprimeable number, because it can be changed into a prime (228620321) 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, 14695 + ... + 25945.

It is an arithmetic number, because the mean of its divisors is an integer number (11342016).

Almost surely, 2^228620320 is an apocalyptic number.

228620320 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 228620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272208384).

228620320 is an abundant number, since it is smaller than the sum of its proper divisors (315796448).

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

228620320 is a wasteful number, since it uses less digits than its factorization.

228620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11393 (or 11385 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 228620320 is about 15120.1957659284. The cubic root of 228620320 is about 611.4650087049.

The spelling of 228620320 in words is "two hundred twenty-eight million, six hundred twenty thousand, three hundred twenty".