288032480 has 96 divisors (see below), whose sum is σ = 698090400. Its totient is φ = 112279552.

The previous prime is 288032477. The next prime is 288032483. The reversal of 288032480 is 84230882.

It is an interprime number because it is at equal distance from previous prime (288032477) and next prime (288032483).

It is a self number, because there is not a number n which added to its sum of digits gives 288032480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288032483) 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 15 ways as a sum of consecutive naturals, for example, 1609031 + ... + 1609209.

It is an arithmetic number, because the mean of its divisors is an integer number (7271775).

Almost surely, 2^288032480 is an apocalyptic number.

288032480 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 288032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349045200).

288032480 is an abundant number, since it is smaller than the sum of its proper divisors (410057920).

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

288032480 is a wasteful number, since it uses less digits than its factorization.

288032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 288032480 is about 16971.5196726752. The cubic root of 288032480 is about 660.4102744469.

The spelling of 288032480 in words is "two hundred eighty-eight million, thirty-two thousand, four hundred eighty".