288420912 has 400 divisors, whose sum is σ = 1020872160. Its totient is φ = 77635584.

The previous prime is 288420907. The next prime is 288420917. The reversal of 288420912 is 219024882.

It is an interprime number because it is at equal distance from previous prime (288420907) and next prime (288420917).

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 (288420917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5441878 + ... + 5441930.

Almost surely, 2^288420912 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 288420912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

288420912 is an abundant number, since it is smaller than the sum of its proper divisors (732451248).

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

288420912 is a wasteful number, since it uses less digits than its factorization.

288420912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 288420912 is about 16982.9594594111. The cubic root of 288420912 is about 660.7070109542.

The spelling of 288420912 in words is "two hundred eighty-eight million, four hundred twenty thousand, nine hundred twelve".