1032192128 has 128 divisors (see below), whose sum is σ = 2458771200. Its totient is φ = 426065920.

The previous prime is 1032192101. The next prime is 1032192199. The reversal of 1032192128 is 8212912301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1032192128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693401 + ... + 694887.

It is an arithmetic number, because the mean of its divisors is an integer number (19209150).

Almost surely, 2^1032192128 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 1032192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229385600).

1032192128 is an abundant number, since it is smaller than the sum of its proper divisors (1426579072).

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

1032192128 is a wasteful number, since it uses less digits than its factorization.

1032192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1032192128 is about 32127.7470109561. The cubic root of 1032192128 is about 1010.6175773999.

The spelling of 1032192128 in words is "one billion, thirty-two million, one hundred ninety-two thousand, one hundred twenty-eight".