228894120 has 512 divisors, whose sum is σ = 1001548800. Its totient is φ = 45121536.

The previous prime is 228894109. The next prime is 228894151. The reversal of 228894120 is 21498822.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1670692 + ... + 1670828.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 2^228894120 is an apocalyptic number.

228894120 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 228894120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500774400).

228894120 is an abundant number, since it is smaller than the sum of its proper divisors (772654680).

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

228894120 is a wasteful number, since it uses less digits than its factorization.

228894120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 228894120 is about 15129.2471722819. The cubic root of 228894120 is about 611.7090119925.

The spelling of 228894120 in words is "two hundred twenty-eight million, eight hundred ninety-four thousand, one hundred twenty".