828987680 has 24 divisors (see below), whose sum is σ = 1958483772. Its totient is φ = 331595008.

The previous prime is 828987667. The next prime is 828987683. The reversal of 828987680 is 86789828.

It can be written as a sum of positive squares in 2 ways, for example, as 772617616 + 56370064 = 27796^2 + 7508^2 .

It is not an unprimeable number, because it can be changed into a prime (828987683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2590427 + ... + 2590746.

Almost surely, 2^828987680 is an apocalyptic number.

828987680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828987680 is an abundant number, since it is smaller than the sum of its proper divisors (1129496092).

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

828987680 is a wasteful number, since it uses less digits than its factorization.

828987680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181188 (or 5181180 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 56.

The square root of 828987680 is about 28792.1461513379. The cubic root of 828987680 is about 939.3974106827.

The spelling of 828987680 in words is "eight hundred twenty-eight million, nine hundred eighty-seven thousand, six hundred eighty".