1295843328 has 204 divisors, whose sum is σ = 4055336740. Its totient is φ = 398721024.

The previous prime is 1295843323. The next prime is 1295843387. The reversal of 1295843328 is 8233485921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1295843328 is a `hidden beast` number, since 12 + 9 + 584 + 33 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 1248067584 = 6912^2 + 35328^2 .

Its product of digits (414720) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295843321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99680250 + ... + 99680262.

Almost surely, 2^1295843328 is an apocalyptic number.

1295843328 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 1295843328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027668370).

1295843328 is an abundant number, since it is smaller than the sum of its proper divisors (2759493412).

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

1295843328 is an frugal number, since it uses more digits than its factorization.

1295843328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 18 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1295843328 is about 35997.8239342325. The cubic root of 1295843328 is about 1090.2284199909.

The spelling of 1295843328 in words is "one billion, two hundred ninety-five million, eight hundred forty-three thousand, three hundred twenty-eight".