1284028488 has 108 divisors (see below), whose sum is σ = 3599407305. Its totient is φ = 413516160.

The previous prime is 1284028457. The next prime is 1284028489. The reversal of 1284028488 is 8848204821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1284028488 is a `hidden beast` number, since 128 + 40 + 2 + 8 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 916999524 + 367028964 = 30282^2 + 19158^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=25338.

It is a super-2 number, since 2×1284028488² = 3297458315991132288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1284028489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12466245 + ... + 12466347.

Almost surely, 2^1284028488 is an apocalyptic number.

1284028488 is a gapful number since it is divisible by the number (18) 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 1284028488

1284028488 is an abundant number, since it is smaller than the sum of its proper divisors (2315378817).

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

1284028488 is a wasteful number, since it uses less digits than its factorization.

1284028488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 1284028488 is about 35833.3432434095. The cubic root of 1284028488 is about 1086.9049161238.

It can be divided in two parts, 12840 and 28488, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1284028488 in words is "one billion, two hundred eighty-four million, twenty-eight thousand, four hundred eighty-eight".