1931424768 has 528 divisors, whose sum is σ = 7153036800. Its totient is φ = 498548736.

The previous prime is 1931424749. The next prime is 1931424769. The reversal of 1931424768 is 8674241391.

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931424769) by changing a digit.

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, 41094121 + ... + 41094167.

Almost surely, 2^1931424768 is an apocalyptic number.

1931424768 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 1931424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576518400).

1931424768 is an abundant number, since it is smaller than the sum of its proper divisors (5221612032).

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

1931424768 is a wasteful number, since it uses less digits than its factorization.

1931424768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1931424768 is about 43947.9779739637. The cubic root of 1931424768 is about 1245.3533656074.

The spelling of 1931424768 in words is "one billion, nine hundred thirty-one million, four hundred twenty-four thousand, seven hundred sixty-eight".