228392320 has 128 divisors (see below), whose sum is σ = 596161440. Its totient is φ = 83165184.

The previous prime is 228392299. The next prime is 228392327. The reversal of 228392320 is 23293822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228392327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806899 + ... + 807181.

Almost surely, 2^228392320 is an apocalyptic number.

228392320 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 228392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298080720).

228392320 is an abundant number, since it is smaller than the sum of its proper divisors (367769120).

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

228392320 is a wasteful number, since it uses less digits than its factorization.

228392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 228392320 is about 15112.6543002876. The cubic root of 228392320 is about 611.2616724589.

The spelling of 228392320 in words is "two hundred twenty-eight million, three hundred ninety-two thousand, three hundred twenty".