288424152 has 80 divisors (see below), whose sum is σ = 819363600. Its totient is φ = 94772160.

The previous prime is 288424151. The next prime is 288424187. The reversal of 288424152 is 251424882.

288424152 is a `hidden beast` number, since 2 + 88 + 424 + 152 = 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 (288424151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42874 + ... + 49142.

It is an arithmetic number, because the mean of its divisors is an integer number (10242045).

Almost surely, 2^288424152 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 288424152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409681800).

288424152 is an abundant number, since it is smaller than the sum of its proper divisors (530939448).

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

288424152 is a wasteful number, since it uses less digits than its factorization.

288424152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6345 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 288424152 is about 16983.0548488780. The cubic root of 288424152 is about 660.7094849804.

The spelling of 288424152 in words is "two hundred eighty-eight million, four hundred twenty-four thousand, one hundred fifty-two".