288217020 has 144 divisors (see below), whose sum is σ = 1011110688. Its totient is φ = 60802560.

The previous prime is 288217001. The next prime is 288217063. The reversal of 288217020 is 20712882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34450 + ... + 41990.

It is an arithmetic number, because the mean of its divisors is an integer number (7021602).

Almost surely, 2^288217020 is an apocalyptic number.

288217020 is a gapful number since it is divisible by the number (20) 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 288217020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505555344).

288217020 is an abundant number, since it is smaller than the sum of its proper divisors (722893668).

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

288217020 is a wasteful number, since it uses less digits than its factorization.

288217020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 288217020 is about 16976.9555574608. The cubic root of 288217020 is about 660.5512841157.

The spelling of 288217020 in words is "two hundred eighty-eight million, two hundred seventeen thousand, twenty".