1952928384 has 128 divisors (see below), whose sum is σ = 5707316160. Its totient is φ = 591641600.

The previous prime is 1952928337. The next prime is 1952928389. The reversal of 1952928384 is 4838292591.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952928389) 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 15 ways as a sum of consecutive naturals, for example, 509194 + ... + 513014.

Almost surely, 2^1952928384 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 1952928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853658080).

1952928384 is an abundant number, since it is smaller than the sum of its proper divisors (3754387776).

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

1952928384 is an equidigital number, since it uses as much as digits as its factorization.

1952928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3837 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 1952928384 is about 44191.9493120636. The cubic root of 1952928384 is about 1249.9580538458.

The spelling of 1952928384 in words is "one billion, nine hundred fifty-two million, nine hundred twenty-eight thousand, three hundred eighty-four".