10428437031786 has 96 divisors (see below), whose sum is σ = 23991149754000. Its totient is φ = 3262497177600.

The previous prime is 10428437031757. The next prime is 10428437031809. The reversal of 10428437031786 is 68713073482401.

10428437031786 is a `hidden beast` number, since 1 + 0 + 428 + 43 + 7 + 0 + 3 + 178 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9884302132761 + 544134899025 = 3143931^2 + 737655^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 462467640 + ... + 462490188.

Almost surely, 2^{10428437031786} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10428437031786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11995574877000).

10428437031786 is an abundant number, since it is smaller than the sum of its proper divisors (13562712722214).

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

10428437031786 is a wasteful number, since it uses less digits than its factorization.

10428437031786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744 (or 26741 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 10428437031786 in words is "ten trillion, four hundred twenty-eight billion, four hundred thirty-seven million, thirty-one thousand, seven hundred eighty-six".