1026112128 has 64 divisors (see below), whose sum is σ = 2742102720. Its totient is φ = 339968000.

The previous prime is 1026112123. The next prime is 1026112177. The reversal of 1026112128 is 8212116201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1026112098 and 1026112107.

It is not an unprimeable number, because it can be changed into a prime (1026112123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56128 + ... + 72128.

It is an arithmetic number, because the mean of its divisors is an integer number (42845355).

Almost surely, 2^1026112128 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 1026112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371051360).

1026112128 is an abundant number, since it is smaller than the sum of its proper divisors (1715990592).

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

1026112128 is a wasteful number, since it uses less digits than its factorization.

1026112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1026112128 is about 32032.9849998404. The cubic root of 1026112128 is about 1008.6293625705.

Adding to 1026112128 its reverse (8212116201), we get a palindrome (9238228329).

The spelling of 1026112128 in words is "one billion, twenty-six million, one hundred twelve thousand, one hundred twenty-eight".