1288857792 has 56 divisors (see below), whose sum is σ = 3414030256. Its totient is φ = 429124608.

The previous prime is 1288857743. The next prime is 1288857797. The reversal of 1288857792 is 2977588821.

It is a super-2 number, since 2×1288857792² = 3322308815998230528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1288857797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188058 + ... + 194790.

It is an arithmetic number, because the mean of its divisors is an integer number (60964826).

Almost surely, 2^1288857792 is an apocalyptic number.

1288857792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288857792 is an abundant number, since it is smaller than the sum of its proper divisors (2125172464).

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

1288857792 is an equidigital number, since it uses as much as digits as its factorization.

1288857792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7745 (or 7735 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 57.

The square root of 1288857792 is about 35900.6656205703. The cubic root of 1288857792 is about 1088.2658483864.

The spelling of 1288857792 in words is "one billion, two hundred eighty-eight million, eight hundred fifty-seven thousand, seven hundred ninety-two".