288101952 has 42 divisors (see below), whose sum is σ = 825793878. Its totient is φ = 96033792.

The previous prime is 288101939. The next prime is 288101953. The reversal of 288101952 is 259101882.

It can be written as a sum of positive squares in only one way, i.e., 206669376 + 81432576 = 14376^2 + 9024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (288101953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 249513 + ... + 250664.

It is an arithmetic number, because the mean of its divisors is an integer number (19661759).

Almost surely, 2^288101952 is an apocalyptic number.

It is an amenable number.

288101952 is an abundant number, since it is smaller than the sum of its proper divisors (537691926).

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

288101952 is a wasteful number, since it uses less digits than its factorization.

288101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500195 (or 500182 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 288101952 is about 16973.5662722953. The cubic root of 288101952 is about 660.4633660686.

The spelling of 288101952 in words is "two hundred eighty-eight million, one hundred one thousand, nine hundred fifty-two".