228393984 has 352 divisors, whose sum is σ = 807009280. Its totient is φ = 55738368.

The previous prime is 228393983. The next prime is 228393989. The reversal of 228393984 is 489393822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (228393983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5311467 + ... + 5311509.

It is an arithmetic number, because the mean of its divisors is an integer number (2292640).

Almost surely, 2^228393984 is an apocalyptic number.

228393984 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 228393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403504640).

228393984 is an abundant number, since it is smaller than the sum of its proper divisors (578615296).

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

228393984 is a wasteful number, since it uses less digits than its factorization.

228393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 228393984 is about 15112.7093533886. The cubic root of 228393984 is about 611.2631569468.

The spelling of 228393984 in words is "two hundred twenty-eight million, three hundred ninety-three thousand, nine hundred eighty-four".