1288399928319 has 24 divisors (see below), whose sum is σ = 2126932035072. Its totient is φ = 736211356560.

The previous prime is 1288399928303. The next prime is 1288399928353. The reversal of 1288399928319 is 9138299938821.

1288399928319 is a `hidden beast` number, since 1 + 288 + 3 + 9 + 9 + 9 + 28 + 319 = 666.

It is not a de Polignac number, because 1288399928319 - 2⁴ = 1288399928303 is a prime.

It is a super-2 number, since 2×1288399928319² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288399924319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785534 + ... + 3214964.

It is an arithmetic number, because the mean of its divisors is an integer number (88622168128).

Almost surely, 2^{1288399928319} is an apocalyptic number.

1288399928319 is a deficient number, since it is larger than the sum of its proper divisors (838532106753).

1288399928319 is a wasteful number, since it uses less digits than its factorization.

1288399928319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477067 (or 477064 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 72.

The spelling of 1288399928319 in words is "one trillion, two hundred eighty-eight billion, three hundred ninety-nine million, nine hundred twenty-eight thousand, three hundred nineteen".