288833040 has 300 divisors, whose sum is σ = 1058547204. Its totient is φ = 72963072.

The previous prime is 288833029. The next prime is 288833053. The reversal of 288833040 is 40338882.

It is a happy number.

288833040 is a `hidden beast` number, since 288 + 8 + 330 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1327104 + 287505936 = 1152^2 + 16956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288832986 and 288833004.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 5449654 + ... + 5449706.

Almost surely, 2^288833040 is an apocalyptic number.

288833040 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 288833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529273602).

288833040 is an abundant number, since it is smaller than the sum of its proper divisors (769714164).

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

288833040 is a wasteful number, since it uses less digits than its factorization.

288833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 288833040 is about 16995.0887023281. The cubic root of 288833040 is about 661.0215584956.

The spelling of 288833040 in words is "two hundred eighty-eight million, eight hundred thirty-three thousand, forty".