1288657920 has 352 divisors, whose sum is σ = 4669125120. Its totient is φ = 300482560.

The previous prime is 1288657913. The next prime is 1288657943. The reversal of 1288657920 is 297568821.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1288657920.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4899709 + ... + 4899971.

It is an arithmetic number, because the mean of its divisors is an integer number (13264560).

Almost surely, 2^1288657920 is an apocalyptic number.

1288657920 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 1288657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334562560).

1288657920 is an abundant number, since it is smaller than the sum of its proper divisors (3380467200).

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

1288657920 is a wasteful number, since it uses less digits than its factorization.

1288657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 1288657920 is about 35897.8818316624. The cubic root of 1288657920 is about 1088.2095905334.

The spelling of 1288657920 in words is "one billion, two hundred eighty-eight million, six hundred fifty-seven thousand, nine hundred twenty".