1288448821 has 8 divisors (see below), whose sum is σ = 1439863488. Its totient is φ = 1142748000.

The previous prime is 1288448809. The next prime is 1288448831.

1288448821 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1288448821 - 2⁵ = 1288448789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288448831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427985 + ... + 1428886.

It is an arithmetic number, because the mean of its divisors is an integer number (179982936).

Almost surely, 2^1288448821 is an apocalyptic number.

1288448821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1288448821 is a deficient number, since it is larger than the sum of its proper divisors (151414667).

1288448821 is a wasteful number, since it uses less digits than its factorization.

1288448821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856923.

The product of its digits is 262144, while the sum is 46.

The square root of 1288448821 is about 35894.9692993322. The cubic root of 1288448821 is about 1088.1507293358.

The spelling of 1288448821 in words is "one billion, two hundred eighty-eight million, four hundred forty-eight thousand, eight hundred twenty-one".