1292443128 has 96 divisors (see below), whose sum is σ = 3656889600. Its totient is φ = 427625568.

The previous prime is 1292443127. The next prime is 1292443147. The reversal of 1292443128 is 8213442921.

1292443128 is a `hidden beast` number, since 1 + 2 + 92 + 443 + 128 = 666.

It is a super-2 number, since 2×1292443128² = 3340818478228848768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1292443092 and 1292443101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292443121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267825 + ... + 272607.

It is an arithmetic number, because the mean of its divisors is an integer number (38092600).

Almost surely, 2^1292443128 is an apocalyptic number.

1292443128 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 1292443128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828444800).

1292443128 is an abundant number, since it is smaller than the sum of its proper divisors (2364446472).

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

1292443128 is a wasteful number, since it uses less digits than its factorization.

1292443128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4927 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1292443128 is about 35950.5650581462. The cubic root of 1292443128 is about 1089.2740243413.

The spelling of 1292443128 in words is "one billion, two hundred ninety-two million, four hundred forty-three thousand, one hundred twenty-eight".