1929920512 has 180 divisors, whose sum is σ = 4533248916. Its totient is φ = 817889280.

The previous prime is 1929920483. The next prime is 1929920527. The reversal of 1929920512 is 2150299291.

It can be written as a sum of positive squares in 6 ways, for example, as 484704256 + 1445216256 = 22016^2 + 38016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47071212 + ... + 47071252.

Almost surely, 2^1929920512 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 1929920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266624458).

1929920512 is an abundant number, since it is smaller than the sum of its proper divisors (2603328404).

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

1929920512 is an equidigital number, since it uses as much as digits as its factorization.

1929920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 1929920512 is about 43930.8605879739. The cubic root of 1929920512 is about 1245.0299744938.

The spelling of 1929920512 in words is "one billion, nine hundred twenty-nine million, nine hundred twenty thousand, five hundred twelve".