1956283982928 has 120 divisors (see below), whose sum is σ = 5975585796960. Its totient is φ = 592516404480.

The previous prime is 1956283982911. The next prime is 1956283982957. The reversal of 1956283982928 is 8292893826591.

1956283982928 is a `hidden beast` number, since 1 + 9 + 56 + 283 + 9 + 8 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2864458 + ... + 3481046.

It is an arithmetic number, because the mean of its divisors is an integer number (49796548308).

Almost surely, 2^{1956283982928} is an apocalyptic number.

1956283982928 is a gapful number since it is divisible by the number (18) 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 1956283982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987792898480).

1956283982928 is an abundant number, since it is smaller than the sum of its proper divisors (4019301814032).

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

1956283982928 is a wasteful number, since it uses less digits than its factorization.

1956283982928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618617 (or 618608 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 1956283982928 in words is "one trillion, nine hundred fifty-six billion, two hundred eighty-three million, nine hundred eighty-two thousand, nine hundred twenty-eight".