1283135679828 has 18 divisors (see below), whose sum is σ = 3243481857434. Its totient is φ = 427711893264.

The previous prime is 1283135679823. The next prime is 1283135679961. The reversal of 1283135679828 is 8289765313821.

1283135679828 is a `hidden beast` number, since 12 + 8 + 31 + 3 + 567 + 9 + 8 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1266799772484 + 16335907344 = 1125522^2 + 127812^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1283135679828² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283135679823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17821328851 + ... + 17821328922.

Almost surely, 2^{1283135679828} is an apocalyptic number.

1283135679828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1283135679828 is an abundant number, since it is smaller than the sum of its proper divisors (1960346177606).

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

1283135679828 is a wasteful number, since it uses less digits than its factorization.

1283135679828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35642657783 (or 35642657778 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1283135679828 in words is "one trillion, two hundred eighty-three billion, one hundred thirty-five million, six hundred seventy-nine thousand, eight hundred twenty-eight".