1284611328 has 432 divisors, whose sum is σ = 4981931136. Its totient is φ = 307445760.

The previous prime is 1284611243. The next prime is 1284611329. The reversal of 1284611328 is 8231164821.

1284611328 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 611 + 32 + 8 = 666.

1284611328 is a nontrivial binomial coefficient, being equal to C(50688, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1284611292 and 1284611301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284611329) 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 47 ways as a sum of consecutive naturals, for example, 2306026 + ... + 2306582.

It is an arithmetic number, because the mean of its divisors is an integer number (11532248).

Almost surely, 2^1284611328 is an apocalyptic number.

1284611328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1284611328 is the 50687-th triangular number and also the 25344-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490965568).

1284611328 is an abundant number, since it is smaller than the sum of its proper divisors (3697319808).

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

1284611328 is a wasteful number, since it uses less digits than its factorization.

1284611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1284611328 is about 35841.4749696493. The cubic root of 1284611328 is about 1087.0693454546.

The spelling of 1284611328 in words is "one billion, two hundred eighty-four million, six hundred eleven thousand, three hundred twenty-eight".