828144160 has 48 divisors (see below), whose sum is σ = 1958558616. Its totient is φ = 330907648.

The previous prime is 828144139. The next prime is 828144169. The reversal of 828144160 is 61441828.

It can be written as a sum of positive squares in 4 ways, for example, as 421234576 + 406909584 = 20524^2 + 20172^2 .

It is not an unprimeable number, because it can be changed into a prime (828144169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192594 + ... + 196846.

Almost surely, 2^828144160 is an apocalyptic number.

828144160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828144160 is an abundant number, since it is smaller than the sum of its proper divisors (1130414456).

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

828144160 is a wasteful number, since it uses less digits than its factorization.

828144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 828144160 is about 28777.4939840147. The cubic root of 828144160 is about 939.0786808073.

Adding to 828144160 its reverse (61441828), we get a palindrome (889585988).

It can be divided in two parts, 8281 and 44160, that added together give a square (52441 = 229²).

The spelling of 828144160 in words is "eight hundred twenty-eight million, one hundred forty-four thousand, one hundred sixty".