288428898010044 has 48 divisors (see below), whose sum is σ = 757865960764416. Its totient is φ = 84583254547200.

The previous prime is 288428898010009. The next prime is 288428898010067. The reversal of 288428898010044 is 440010898824882.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35243018637 + ... + 35243026820.

It is an arithmetic number, because the mean of its divisors is an integer number (15788874182592).

Almost surely, 2^{288428898010044} is an apocalyptic number.

It is an amenable number.

288428898010044 is an abundant number, since it is smaller than the sum of its proper divisors (469437062754372).

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

288428898010044 is a wasteful number, since it uses less digits than its factorization.

288428898010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70486045506 (or 70486045504 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 66.

The spelling of 288428898010044 in words is "two hundred eighty-eight trillion, four hundred twenty-eight billion, eight hundred ninety-eight million, ten thousand, forty-four".