1079984128 has 60 divisors (see below), whose sum is σ = 2235364740. Its totient is φ = 521142272.

The previous prime is 1079984089. The next prime is 1079984179. The reversal of 1079984128 is 8214899701.

It can be written as a sum of positive squares in 2 ways, for example, as 785793024 + 294191104 = 28032^2 + 17152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 474000 + ... + 476272.

It is an arithmetic number, because the mean of its divisors is an integer number (37256079).

Almost surely, 2^1079984128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117682370).

1079984128 is an abundant number, since it is smaller than the sum of its proper divisors (1155380612).

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

1079984128 is an frugal number, since it uses more digits than its factorization.

1079984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 49.

The square root of 1079984128 is about 32863.1119646329. Note that the first 3 decimals coincide. The cubic root of 1079984128 is about 1025.9805419188.

The spelling of 1079984128 in words is "one billion, seventy-nine million, nine hundred eighty-four thousand, one hundred twenty-eight".