1084775328 has 504 divisors, whose sum is σ = 4066261668. Its totient is φ = 282175488.

The previous prime is 1084775311. The next prime is 1084775339. The reversal of 1084775328 is 8235774801.

1084775328 is a `hidden beast` number, since 108 + 4 + 7 + 7 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1056770064 + 28005264 = 32508^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 14859900 + ... + 14859972.

Almost surely, 2^1084775328 is an apocalyptic number.

1084775328 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 1084775328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033130834).

1084775328 is an abundant number, since it is smaller than the sum of its proper divisors (2981486340).

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

1084775328 is an equidigital number, since it uses as much as digits as its factorization.

1084775328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 1084775328 is about 32935.9276171175. The cubic root of 1084775328 is about 1027.4955106629.

The spelling of 1084775328 in words is "one billion, eighty-four million, seven hundred seventy-five thousand, three hundred twenty-eight".