1284024288 has 48 divisors (see below), whose sum is σ = 3413249280. Its totient is φ = 422587776.

The previous prime is 1284024281. The next prime is 1284024293. The reversal of 1284024288 is 8824204821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284024281) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77070 + ... + 92237.

It is an arithmetic number, because the mean of its divisors is an integer number (71109360).

Almost surely, 2^1284024288 is an apocalyptic number.

It is an amenable number.

1284024288 is an abundant number, since it is smaller than the sum of its proper divisors (2129224992).

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

1284024288 is a wasteful number, since it uses less digits than its factorization.

1284024288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169399 (or 169391 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 1284024288 is about 35833.2846387266. The cubic root of 1284024288 is about 1086.9037310500.

It can be divided in two parts, 12840 and 24288, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 1284024288 in words is "one billion, two hundred eighty-four million, twenty-four thousand, two hundred eighty-eight".