1952827804928 has 972 divisors, whose sum is σ = 5648690918304. Its totient is φ = 669750681600.

The previous prime is 1952827804913. The next prime is 1952827804979. The reversal of 1952827804928 is 8294087282591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5899781723 + ... + 5899782053.

Almost surely, 2^{1952827804928} 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 1952827804928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824345459152).

1952827804928 is an abundant number, since it is smaller than the sum of its proper divisors (3695863113376).

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

1952827804928 is a wasteful number, since it uses less digits than its factorization.

1952827804928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 65.

The spelling of 1952827804928 in words is "one trillion, nine hundred fifty-two billion, eight hundred twenty-seven million, eight hundred four thousand, nine hundred twenty-eight".