288749947882 has 32 divisors (see below), whose sum is σ = 497514286080. Its totient is φ = 124305594480.

The previous prime is 288749947873. The next prime is 288749947891.

It is a happy number.

288749947882 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (288749947873) and next prime (288749947891).

It is a junction number, because it is equal to n+sod(n) for n = 288749947799 and 288749947808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349583 + ... + 1548829.

It is an arithmetic number, because the mean of its divisors is an integer number (15547321440).

Almost surely, 2^288749947882 is an apocalyptic number.

288749947882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

288749947882 is a deficient number, since it is larger than the sum of its proper divisors (208764338198).

288749947882 is a wasteful number, since it uses less digits than its factorization.

288749947882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202746.

The product of its digits is 1040449536, while the sum is 76.

The spelling of 288749947882 in words is "two hundred eighty-eight billion, seven hundred forty-nine million, nine hundred forty-seven thousand, eight hundred eighty-two".