1288812896 has 96 divisors (see below), whose sum is σ = 3061800000. Its totient is φ = 533170176.

The previous prime is 1288812893. The next prime is 1288812911. The reversal of 1288812896 is 6982188821.

It is a happy number.

It is a super-2 number, since 2×1288812896² = 3322077361791813632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288812893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316280 + ... + 320328.

It is an arithmetic number, because the mean of its divisors is an integer number (31893750).

Almost surely, 2^1288812896 is an apocalyptic number.

1288812896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530900000).

1288812896 is an abundant number, since it is smaller than the sum of its proper divisors (1772987104).

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

1288812896 is an equidigital number, since it uses as much as digits as its factorization.

1288812896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4087 counting only the distinct ones).

The product of its digits is 884736, while the sum is 53.

The square root of 1288812896 is about 35900.0403342392. The cubic root of 1288812896 is about 1088.2532120425.

The spelling of 1288812896 in words is "one billion, two hundred eighty-eight million, eight hundred twelve thousand, eight hundred ninety-six".