1992848000 has 384 divisors, whose sum is σ = 5940267840. Its totient is φ = 658944000.

The previous prime is 1992847939. The next prime is 1992848021. The reversal of 1992848000 is 8482991.

It is a super-2 number, since 2×1992848000² = 7942886302208000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 29743967 + ... + 29744033.

Almost surely, 2^1992848000 is an apocalyptic number.

1992848000 is a gapful number since it is divisible by the number (10) 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 1992848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970133920).

1992848000 is an abundant number, since it is smaller than the sum of its proper divisors (3947419840).

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

1992848000 is a wasteful number, since it uses less digits than its factorization.

1992848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 1992848000 is about 44641.3261451763. The cubic root of 1992848000 is about 1258.4174302620.

The spelling of 1992848000 in words is "one billion, nine hundred ninety-two million, eight hundred forty-eight thousand".