1973928000 has 224 divisors, whose sum is σ = 7111398528. Its totient is φ = 478464000.

The previous prime is 1973927971. The next prime is 1973928001. The reversal of 1973928000 is 8293791.

It is a self number, because there is not a number n which added to its sum of digits gives 1973928000.

It is not an unprimeable number, because it can be changed into a prime (1973928001) 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 31 ways as a sum of consecutive naturals, for example, 260262 + ... + 267738.

Almost surely, 2^1973928000 is an apocalyptic number.

1973928000 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 1973928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555699264).

1973928000 is an abundant number, since it is smaller than the sum of its proper divisors (5137470528).

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

1973928000 is a wasteful number, since it uses less digits than its factorization.

1973928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1973928000 is about 44428.9095072116. The cubic root of 1973928000 is about 1254.4223094264.

The spelling of 1973928000 in words is "one billion, nine hundred seventy-three million, nine hundred twenty-eight thousand".