1928244131352 has 432 divisors, whose sum is σ = 6892875662400. Its totient is φ = 484683091200.

The previous prime is 1928244131329. The next prime is 1928244131377. The reversal of 1928244131352 is 2531314428291.

1928244131352 is a `hidden beast` number, since 1 + 9 + 28 + 244 + 1 + 31 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1928244131298 and 1928244131307.

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, 13160674 + ... + 13306382.

It is an arithmetic number, because the mean of its divisors is an integer number (15955730700).

Almost surely, 2^{1928244131352} is an apocalyptic number.

1928244131352 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 1928244131352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446437831200).

1928244131352 is an abundant number, since it is smaller than the sum of its proper divisors (4964631531048).

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

1928244131352 is a wasteful number, since it uses less digits than its factorization.

1928244131352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145788 (or 145763 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 1928244131352 in words is "one trillion, nine hundred twenty-eight billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred fifty-two".