1928133431931 has 96 divisors (see below), whose sum is σ = 3191011246080. Its totient is φ = 1013801716224.

The previous prime is 1928133431929. The next prime is 1928133431941. The reversal of 1928133431931 is 1391343318291.

It is not a de Polignac number, because 1928133431931 - 2¹ = 1928133431929 is a prime.

It is a super-2 number, since 2×1928133431931² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1928133431941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303210130 + ... + 303216488.

It is an arithmetic number, because the mean of its divisors is an integer number (33239700480).

Almost surely, 2^{1928133431931} is an apocalyptic number.

1928133431931 is a deficient number, since it is larger than the sum of its proper divisors (1262877814149).

1928133431931 is a wasteful number, since it uses less digits than its factorization.

1928133431931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7496 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The spelling of 1928133431931 in words is "one trillion, nine hundred twenty-eight billion, one hundred thirty-three million, four hundred thirty-one thousand, nine hundred thirty-one".