828442572072 has 64 divisors (see below), whose sum is σ = 2213865682560. Its totient is φ = 257698636800.

The previous prime is 828442571987. The next prime is 828442572073. The reversal of 828442572072 is 270275244828.

It is not an unprimeable number, because it can be changed into a prime (828442572073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18279829 + ... + 18325092.

It is an arithmetic number, because the mean of its divisors is an integer number (34591651290).

Almost surely, 2^828442572072 is an apocalyptic number.

828442572072 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

828442572072 is an abundant number, since it is smaller than the sum of its proper divisors (1385423110488).

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

828442572072 is a wasteful number, since it uses less digits than its factorization.

828442572072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36604994 (or 36604990 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 828442572072 in words is "eight hundred twenty-eight billion, four hundred forty-two million, five hundred seventy-two thousand, seventy-two".