827424728 has 32 divisors (see below), whose sum is σ = 1673590800. Its totient is φ = 381241728.

The previous prime is 827424727. The next prime is 827424737.

827424728 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827424721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57950 + ... + 70802.

Almost surely, 2^827424728 is an apocalyptic number.

It is an amenable number.

827424728 is an abundant number, since it is smaller than the sum of its proper divisors (846166072).

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

827424728 is a wasteful number, since it uses less digits than its factorization.

827424728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13491 (or 13487 counting only the distinct ones).

The product of its digits is 401408, while the sum is 44.

The square root of 827424728 is about 28764.9913610277. The cubic root of 827424728 is about 938.8066673830.

The spelling of 827424728 in words is "eight hundred twenty-seven million, four hundred twenty-four thousand, seven hundred twenty-eight".