828442824 has 32 divisors (see below), whose sum is σ = 2259390240. Its totient is φ = 251043200.

The previous prime is 828442789. The next prime is 828442829. The reversal of 828442824 is 428244828.

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

It is not an unprimeable number, because it can be changed into a prime (828442829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1568757 + ... + 1569284.

It is an arithmetic number, because the mean of its divisors is an integer number (70605945).

Almost surely, 2^828442824 is an apocalyptic number.

It is an amenable number.

828442824 is an abundant number, since it is smaller than the sum of its proper divisors (1430947416).

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

828442824 is a wasteful number, since it uses less digits than its factorization.

828442824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138061 (or 3138057 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The square root of 828442824 is about 28782.6827102687. The cubic root of 828442824 is about 939.1915578075.

The spelling of 828442824 in words is "eight hundred twenty-eight million, four hundred forty-two thousand, eight hundred twenty-four".