1992083328 has 128 divisors (see below), whose sum is σ = 5932605600. Its totient is φ = 658022400.

The previous prime is 1992083309. The next prime is 1992083371. The reversal of 1992083328 is 8233802991.

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

It is a congruent number.

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, 387978 + ... + 393078.

Almost surely, 2^1992083328 is an apocalyptic number.

1992083328 is a gapful number since it is divisible by the number (18) 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 1992083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966302800).

1992083328 is an abundant number, since it is smaller than the sum of its proper divisors (3940522272).

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

1992083328 is a wasteful number, since it uses less digits than its factorization.

1992083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1992083328 is about 44632.7607033219. The cubic root of 1992083328 is about 1258.2564546670.

The spelling of 1992083328 in words is "one billion, nine hundred ninety-two million, eighty-three thousand, three hundred twenty-eight".