288820224 has 396 divisors, whose sum is σ = 1075935952. Its totient is φ = 72990720.

The previous prime is 288820201. The next prime is 288820229. The reversal of 288820224 is 422028882.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is not an unprimeable number, because it can be changed into a prime (288820229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7805934 + ... + 7805970.

Almost surely, 2^288820224 is an apocalyptic number.

288820224 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 288820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537967976).

288820224 is an abundant number, since it is smaller than the sum of its proper divisors (787115728).

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

288820224 is a wasteful number, since it uses less digits than its factorization.

288820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 288820224 is about 16994.7116480392. The cubic root of 288820224 is about 661.0117814775.

The spelling of 288820224 in words is "two hundred eighty-eight million, eight hundred twenty thousand, two hundred twenty-four".