288984432 has 80 divisors (see below), whose sum is σ = 822625920. Its totient is φ = 86688000.

The previous prime is 288984431. The next prime is 288984439. The reversal of 288984432 is 234489882.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288984431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50619 + ... + 56037.

It is an arithmetic number, because the mean of its divisors is an integer number (10282824).

Almost surely, 2^288984432 is an apocalyptic number.

288984432 is a gapful number since it is divisible by the number (22) 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 288984432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411312960).

288984432 is an abundant number, since it is smaller than the sum of its proper divisors (533641488).

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

288984432 is a wasteful number, since it uses less digits than its factorization.

288984432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5536 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 288984432 is about 16999.5421114805. The cubic root of 288984432 is about 661.1370299301.

The spelling of 288984432 in words is "two hundred eighty-eight million, nine hundred eighty-four thousand, four hundred thirty-two".