1288432820 has 24 divisors (see below), whose sum is σ = 2706407424. Its totient is φ = 515240096.

The previous prime is 1288432813. The next prime is 1288432823. The reversal of 1288432820 is 282348821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288432823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117617 + ... + 128103.

It is an arithmetic number, because the mean of its divisors is an integer number (112766976).

Almost surely, 2^1288432820 is an apocalyptic number.

1288432820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288432820 is an abundant number, since it is smaller than the sum of its proper divisors (1417974604).

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

1288432820 is a wasteful number, since it uses less digits than its factorization.

1288432820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 1288432820 is about 35894.7464122537. The cubic root of 1288432820 is about 1088.1462248051.

The spelling of 1288432820 in words is "one billion, two hundred eighty-eight million, four hundred thirty-two thousand, eight hundred twenty".