288224352 has 192 divisors, whose sum is σ = 921231360. Its totient is φ = 87132672.

The previous prime is 288224327. The next prime is 288224353. The reversal of 288224352 is 253422882.

288224352 is a `hidden beast` number, since 2 + 88 + 224 + 352 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288224353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 752353 + ... + 752735.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 2^288224352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460615680).

288224352 is an abundant number, since it is smaller than the sum of its proper divisors (633007008).

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

288224352 is a wasteful number, since it uses less digits than its factorization.

288224352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 288224352 is about 16977.1714958647. The cubic root of 288224352 is about 660.5568853590.

The spelling of 288224352 in words is "two hundred eighty-eight million, two hundred twenty-four thousand, three hundred fifty-two".