288983376 has 240 divisors, whose sum is σ = 950564160. Its totient is φ = 84188160.

The previous prime is 288983351. The next prime is 288983381. The reversal of 288983376 is 673389882.

It is a super-2 number, since 2×288983376² = 167022783208714752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1240156 + ... + 1240388.

It is an arithmetic number, because the mean of its divisors is an integer number (3960684).

Almost surely, 2^288983376 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 288983376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475282080).

288983376 is an abundant number, since it is smaller than the sum of its proper divisors (661580784).

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

288983376 is a wasteful number, since it uses less digits than its factorization.

288983376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 288983376 is about 16999.5110517920. The cubic root of 288983376 is about 661.1362246254.

The spelling of 288983376 in words is "two hundred eighty-eight million, nine hundred eighty-three thousand, three hundred seventy-six".