1288385280 has 432 divisors, whose sum is σ = 5490838080. Its totient is φ = 271613952.

The previous prime is 1288385279. The next prime is 1288385297. The reversal of 1288385280 is 825838821.

1288385280 is a `hidden beast` number, since 12 + 88 + 38 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047706 + ... + 1048934.

Almost surely, 2^1288385280 is an apocalyptic number.

1288385280 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 1288385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745419040).

1288385280 is an abundant number, since it is smaller than the sum of its proper divisors (4202452800).

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

1288385280 is a wasteful number, since it uses less digits than its factorization.

1288385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1288385280 is about 35894.0841922454. The cubic root of 1288385280 is about 1088.1328413346.

The spelling of 1288385280 in words is "one billion, two hundred eighty-eight million, three hundred eighty-five thousand, two hundred eighty".