1288225000 has 72 divisors (see below), whose sum is σ = 3032442630. Its totient is φ = 513020000.

The previous prime is 1288224953. The next prime is 1288225019. The reversal of 1288225000 is 5228821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 1855044 + 1286369956 = 1362^2 + 35866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1288225000.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5674887 + ... + 5675113.

Almost surely, 2^1288225000 is an apocalyptic number.

1288225000 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 1288225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516221315).

1288225000 is an abundant number, since it is smaller than the sum of its proper divisors (1744217630).

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

1288225000 is an frugal number, since it uses more digits than its factorization.

1288225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1288225000 is about 35891.8514429111. The cubic root of 1288225000 is about 1088.0877168502.

Multiplying 1288225000 by its product of nonzero digits (2560), we get a square (3297856000000 = 1816000²).

The spelling of 1288225000 in words is "one billion, two hundred eighty-eight million, two hundred twenty-five thousand".