228964320 has 336 divisors, whose sum is σ = 879191712. Its totient is φ = 55987200.

The previous prime is 228964303. The next prime is 228964321. The reversal of 228964320 is 23469822.

228964320 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228964321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516245 + ... + 1516395.

It is an arithmetic number, because the mean of its divisors is an integer number (2616642).

Almost surely, 2^228964320 is an apocalyptic number.

228964320 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 228964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439595856).

228964320 is an abundant number, since it is smaller than the sum of its proper divisors (650227392).

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

228964320 is a wasteful number, since it uses less digits than its factorization.

228964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 228964320 is about 15131.5670041143. The cubic root of 228964320 is about 611.7715410247.

The spelling of 228964320 in words is "two hundred twenty-eight million, nine hundred sixty-four thousand, three hundred twenty".