1952388928 has 224 divisors, whose sum is σ = 4941824000. Its totient is φ = 762048000.

The previous prime is 1952388917. The next prime is 1952388929. The reversal of 1952388928 is 8298832591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952388929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12929653 + ... + 12929803.

Almost surely, 2^1952388928 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 1952388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470912000).

1952388928 is an abundant number, since it is smaller than the sum of its proper divisors (2989435072).

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

1952388928 is a wasteful number, since it uses less digits than its factorization.

1952388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The square root of 1952388928 is about 44185.8453353560. The cubic root of 1952388928 is about 1249.8429515761.

The spelling of 1952388928 in words is "one billion, nine hundred fifty-two million, three hundred eighty-eight thousand, nine hundred twenty-eight".