1016759328 has 192 divisors, whose sum is σ = 3044127744. Its totient is φ = 294912000.

The previous prime is 1016759327. The next prime is 1016759329. The reversal of 1016759328 is 8239576101.

It is an interprime number because it is at equal distance from previous prime (1016759327) and next prime (1016759329).

It is a self number, because there is not a number n which added to its sum of digits gives 1016759328.

It is not an unprimeable number, because it can be changed into a prime (1016759323) 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 31 ways as a sum of consecutive naturals, for example, 1585888 + ... + 1586528.

It is an arithmetic number, because the mean of its divisors is an integer number (15854832).

Almost surely, 2^1016759328 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 1016759328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522063872).

1016759328 is an abundant number, since it is smaller than the sum of its proper divisors (2027368416).

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

1016759328 is a wasteful number, since it uses less digits than its factorization.

1016759328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1016759328 is about 31886.6637953863. The cubic root of 1016759328 is about 1005.5555216905. Note that the first 4 decimals are identical.

The spelling of 1016759328 in words is "one billion, sixteen million, seven hundred fifty-nine thousand, three hundred twenty-eight".