1288155400 has 192 divisors, whose sum is σ = 3594055680. Its totient is φ = 420076800.

The previous prime is 1288155397. The next prime is 1288155403. The reversal of 1288155400 is 45518821.

It is an interprime number because it is at equal distance from previous prime (1288155397) and next prime (1288155403).

It is not an unprimeable number, because it can be changed into a prime (1288155403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2907579 + ... + 2908021.

It is an arithmetic number, because the mean of its divisors is an integer number (18719040).

Almost surely, 2^1288155400 is an apocalyptic number.

1288155400 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 1288155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797027840).

1288155400 is an abundant number, since it is smaller than the sum of its proper divisors (2305900280).

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

1288155400 is a wasteful number, since it uses less digits than its factorization.

1288155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 1288155400 is about 35890.8818504087. The cubic root of 1288155400 is about 1088.0681208249.

The spelling of 1288155400 in words is "one billion, two hundred eighty-eight million, one hundred fifty-five thousand, four hundred".