228388320 has 144 divisors (see below), whose sum is σ = 784274400. Its totient is φ = 60521472.

The previous prime is 228388271. The next prime is 228388333. The reversal of 228388320 is 23883822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×228388320² = 104322449424844800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286162 + ... + 286958.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2^228388320 is an apocalyptic number.

228388320 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 228388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392137200).

228388320 is an abundant number, since it is smaller than the sum of its proper divisors (555886080).

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

228388320 is a wasteful number, since it uses less digits than its factorization.

228388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 228388320 is about 15112.5219602818. The cubic root of 228388320 is about 611.2581039487.

The spelling of 228388320 in words is "two hundred twenty-eight million, three hundred eighty-eight thousand, three hundred twenty".