1288928953 has 8 divisors (see below), whose sum is σ = 1407093128. Its totient is φ = 1173481344.

The previous prime is 1288928951. The next prime is 1288928981. The reversal of 1288928953 is 3598298821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54952569 + 1233976384 = 7413^2 + 35128^2 .

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 1288928953 - 2¹ = 1288928951 is a prime.

It is a super-2 number, since 2×1288928953² = 3322675691763352418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1288928894 and 1288928903.

It is not an unprimeable number, because it can be changed into a prime (1288928951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 678150 + ... + 680047.

It is an arithmetic number, because the mean of its divisors is an integer number (175886641).

Almost surely, 2^1288928953 is an apocalyptic number.

1288928953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1288928953 is a deficient number, since it is larger than the sum of its proper divisors (118164175).

1288928953 is a wasteful number, since it uses less digits than its factorization.

1288928953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358283.

The product of its digits is 2488320, while the sum is 55.

The square root of 1288928953 is about 35901.6566887936. The cubic root of 1288928953 is about 1088.2858766267.

The spelling of 1288928953 in words is "one billion, two hundred eighty-eight million, nine hundred twenty-eight thousand, nine hundred fifty-three".