224384328 has 72 divisors (see below), whose sum is σ = 706936230. Its totient is φ = 64108800.

The previous prime is 224384311. The next prime is 224384341. The reversal of 224384328 is 823483422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 147331044 + 77053284 = 12138^2 + 8778^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224384292 and 224384301.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28273 + ... + 35328.

Almost surely, 2^224384328 is an apocalyptic number.

224384328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

224384328 is an abundant number, since it is smaller than the sum of its proper divisors (482551902).

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

224384328 is a wasteful number, since it uses less digits than its factorization.

224384328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63627 (or 63613 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 224384328 is about 14979.4635417961. The cubic root of 224384328 is about 607.6649310861.

The spelling of 224384328 in words is "two hundred twenty-four million, three hundred eighty-four thousand, three hundred twenty-eight".