288741936 has 160 divisors (see below), whose sum is σ = 926924800. Its totient is φ = 75582720.

The previous prime is 288741913. The next prime is 288741953. The reversal of 288741936 is 639147882.

288741936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 197175 + ... + 198633.

It is an arithmetic number, because the mean of its divisors is an integer number (5793280).

Almost surely, 2^288741936 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 288741936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463462400).

288741936 is an abundant number, since it is smaller than the sum of its proper divisors (638182864).

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

288741936 is a wasteful number, since it uses less digits than its factorization.

288741936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 288741936 is about 16992.4081871876. The cubic root of 288741936 is about 660.9520511649.

The spelling of 288741936 in words is "two hundred eighty-eight million, seven hundred forty-one thousand, nine hundred thirty-six".