1288893312 has 96 divisors (see below), whose sum is σ = 4238797680. Its totient is φ = 368252928.

The previous prime is 1288893311. The next prime is 1288893377. The reversal of 1288893312 is 2133988821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1288893312² = 3322491939436658688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288893311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71853 + ... + 87980.

Almost surely, 2^1288893312 is an apocalyptic number.

1288893312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288893312 is an abundant number, since it is smaller than the sum of its proper divisors (2949904368).

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

1288893312 is a wasteful number, since it uses less digits than its factorization.

1288893312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159860 (or 159845 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1288893312 is about 35901.1603155107. The cubic root of 1288893312 is about 1088.2758455710.

The spelling of 1288893312 in words is "one billion, two hundred eighty-eight million, eight hundred ninety-three thousand, three hundred twelve".