228352320 has 336 divisors, whose sum is σ = 920544768. Its totient is φ = 50872320.

The previous prime is 228352307. The next prime is 228352331. The reversal of 228352320 is 23253822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947400 + ... + 947640.

Almost surely, 2^228352320 is an apocalyptic number.

228352320 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 228352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460272384).

228352320 is an abundant number, since it is smaller than the sum of its proper divisors (692192448).

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

228352320 is a wasteful number, since it uses less digits than its factorization.

228352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 228352320 is about 15111.3308480756. The cubic root of 228352320 is about 611.2259854818.

The spelling of 228352320 in words is "two hundred twenty-eight million, three hundred fifty-two thousand, three hundred twenty".