228058320 has 320 divisors, whose sum is σ = 868515840. Its totient is φ = 48384000.

The previous prime is 228058307. The next prime is 228058333. The reversal of 228058320 is 23850822.

It is an interprime number because it is at equal distance from previous prime (228058307) and next prime (228058333).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510245 + ... + 1510395.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^228058320 is an apocalyptic number.

228058320 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 228058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434257920).

228058320 is an abundant number, since it is smaller than the sum of its proper divisors (640457520).

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

228058320 is a wasteful number, since it uses less digits than its factorization.

228058320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228058320 is about 15101.5999152408. The cubic root of 228058320 is about 610.9635582299.

It can be divided in two parts, 22805 and 8320, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 228058320 in words is "two hundred twenty-eight million, fifty-eight thousand, three hundred twenty".