1065819328 has 112 divisors (see below), whose sum is σ = 2516656384. Its totient is φ = 438359040.

The previous prime is 1065819323. The next prime is 1065819341. The reversal of 1065819328 is 8239185601.

1065819328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1065819328² = 2271941679876743168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1065819323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174651 + ... + 1175557.

Almost surely, 2^1065819328 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 1065819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258328192).

1065819328 is an abundant number, since it is smaller than the sum of its proper divisors (1450837056).

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

1065819328 is an equidigital number, since it uses as much as digits as its factorization.

1065819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 1065819328 is about 32646.8884887978. Note that the first 3 decimals coincide. The cubic root of 1065819328 is about 1021.4752866809.

The spelling of 1065819328 in words is "one billion, sixty-five million, eight hundred nineteen thousand, three hundred twenty-eight".