228003984 has 180 divisors, whose sum is σ = 718610256. Its totient is φ = 69952896.

The previous prime is 228003961. The next prime is 228004001. The reversal of 228003984 is 489300822.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 656899 + ... + 657245.

Almost surely, 2^228003984 is an apocalyptic number.

228003984 is a gapful number since it is divisible by the number (24) 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 228003984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359305128).

228003984 is an abundant number, since it is smaller than the sum of its proper divisors (490606272).

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

228003984 is a wasteful number, since it uses less digits than its factorization.

228003984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228003984 is about 15099.8007933880. The cubic root of 228003984 is about 610.9150326996.

The spelling of 228003984 in words is "two hundred twenty-eight million, three thousand, nine hundred eighty-four".