228802320 has 400 divisors, whose sum is σ = 881515008. Its totient is φ = 54743040.

The previous prime is 228802309. The next prime is 228802333. The reversal of 228802320 is 23208822.

228802320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3414927 + ... + 3414993.

Almost surely, 2^228802320 is an apocalyptic number.

228802320 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 228802320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440757504).

228802320 is an abundant number, since it is smaller than the sum of its proper divisors (652712688).

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

228802320 is a wasteful number, since it uses less digits than its factorization.

228802320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228802320 is about 15126.2130092102. The cubic root of 228802320 is about 611.6272239644.

It can be divided in two parts, 22880 and 2320, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 228802320 in words is "two hundred twenty-eight million, eight hundred two thousand, three hundred twenty".