1288650528 has 288 divisors, whose sum is σ = 4277145600. Its totient is φ = 363916800.

The previous prime is 1288650523. The next prime is 1288650551. The reversal of 1288650528 is 8250568821.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1288650523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4755033 + ... + 4755303.

It is an arithmetic number, because the mean of its divisors is an integer number (14851200).

Almost surely, 2^1288650528 is an apocalyptic number.

1288650528 is a gapful number since it is divisible by the number (18) 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 1288650528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1288650528 is an abundant number, since it is smaller than the sum of its proper divisors (2988495072).

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

1288650528 is a wasteful number, since it uses less digits than its factorization.

1288650528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 1288650528 is about 35897.7788727938. The cubic root of 1288650528 is about 1088.2075098000.

The spelling of 1288650528 in words is "one billion, two hundred eighty-eight million, six hundred fifty thousand, five hundred twenty-eight".