1288000000 has 280 divisors, whose sum is σ = 3836200896. Its totient is φ = 422400000.

The previous prime is 1287999989. The next prime is 1288000003. The reversal of 1288000000 is 8821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1288000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 55999989 + ... + 56000011.

Almost surely, 2^1288000000 is an apocalyptic number.

1288000000 is a gapful number since it is divisible by the number (10) 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 1288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918100448).

1288000000 is an abundant number, since it is smaller than the sum of its proper divisors (2548200896).

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

1288000000 is an frugal number, since it uses more digits than its factorization.

1288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1288000000 is about 35888.7168898527. The cubic root of 1288000000 is about 1088.0243650830.

Adding to 1288000000 its reverse (8821), we get a palindrome (1288008821).

It can be divided in two parts, 128 and 8000000, that multiplied together give a square (1024000000 = 32000²).

The spelling of 1288000000 in words is "one billion, two hundred eighty-eight million", and thus it is an aban number.