288502038 has 48 divisors (see below), whose sum is σ = 683731152. Its totient is φ = 87192000.

The previous prime is 288502033. The next prime is 288502051. The reversal of 288502038 is 830205882.

It is a junction number, because it is equal to n+sod(n) for n = 288501993 and 288502011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288502033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81628 + ... + 85088.

It is an arithmetic number, because the mean of its divisors is an integer number (14244399).

Almost surely, 2^288502038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288502038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341865576).

288502038 is an abundant number, since it is smaller than the sum of its proper divisors (395229114).

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

288502038 is a wasteful number, since it uses less digits than its factorization.

288502038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 288502038 is about 16985.3477444532. The cubic root of 288502038 is about 660.7689522467.

The spelling of 288502038 in words is "two hundred eighty-eight million, five hundred two thousand, thirty-eight".