1948023792 has 360 divisors, whose sum is σ = 6796707840. Its totient is φ = 514874880.

The previous prime is 1948023751. The next prime is 1948023799. The reversal of 1948023792 is 2973208491.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948023799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5086033 + ... + 5086415.

It is an arithmetic number, because the mean of its divisors is an integer number (18879744).

Almost surely, 2^1948023792 is an apocalyptic number.

1948023792 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 1948023792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398353920).

1948023792 is an abundant number, since it is smaller than the sum of its proper divisors (4848684048).

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

1948023792 is a wasteful number, since it uses less digits than its factorization.

1948023792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

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

The square root of 1948023792 is about 44136.4225102126. The cubic root of 1948023792 is about 1248.9107934723.

The spelling of 1948023792 in words is "one billion, nine hundred forty-eight million, twenty-three thousand, seven hundred ninety-two".