1992870432 has 384 divisors, whose sum is σ = 6954393600. Its totient is φ = 543449088.

The previous prime is 1992870413. The next prime is 1992870463. The reversal of 1992870432 is 2340782991.

1992870432 is a `hidden beast` number, since 199 + 28 + 7 + 0 + 432 = 666.

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 63 ways as a sum of consecutive naturals, for example, 20545008 + ... + 20545104.

It is an arithmetic number, because the mean of its divisors is an integer number (18110400).

Almost surely, 2^1992870432 is an apocalyptic number.

1992870432 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 1992870432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477196800).

1992870432 is an abundant number, since it is smaller than the sum of its proper divisors (4961523168).

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

1992870432 is a wasteful number, since it uses less digits than its factorization.

1992870432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1992870432 is about 44641.5773914856. The cubic root of 1992870432 is about 1258.4221519323.

The spelling of 1992870432 in words is "one billion, nine hundred ninety-two million, eight hundred seventy thousand, four hundred thirty-two".