1093984128 has 192 divisors, whose sum is σ = 3345763200. Its totient is φ = 342144000.

The previous prime is 1093984103. The next prime is 1093984159. The reversal of 1093984128 is 8214893901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3304923 + ... + 3305253.

It is an arithmetic number, because the mean of its divisors is an integer number (17425850).

Almost surely, 2^1093984128 is an apocalyptic number.

1093984128 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 1093984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672881600).

1093984128 is an abundant number, since it is smaller than the sum of its proper divisors (2251779072).

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

1093984128 is a wasteful number, since it uses less digits than its factorization.

1093984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1093984128 is about 33075.4308815471. The cubic root of 1093984128 is about 1030.3948365288.

It can be divided in two parts, 109398 and 4128, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 1093984128 in words is "one billion, ninety-three million, nine hundred eighty-four thousand, one hundred twenty-eight".