1298328192 has 192 divisors, whose sum is σ = 4294330560. Its totient is φ = 368824320.

The previous prime is 1298328179. The next prime is 1298328203. The reversal of 1298328192 is 2918238921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1878567 + ... + 1879257.

It is an arithmetic number, because the mean of its divisors is an integer number (22366305).

Almost surely, 2^1298328192 is an apocalyptic number.

1298328192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147165280).

1298328192 is an abundant number, since it is smaller than the sum of its proper divisors (2996002368).

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

1298328192 is a wasteful number, since it uses less digits than its factorization.

1298328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 936 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1298328192 is about 36032.3214905729. The cubic root of 1298328192 is about 1090.9248363788.

The spelling of 1298328192 in words is "one billion, two hundred ninety-eight million, three hundred twenty-eight thousand, one hundred ninety-two".