828421948000 has 96 divisors (see below), whose sum is σ = 2035722937248. Its totient is φ = 331321536000.

The previous prime is 828421947979. The next prime is 828421948019. The reversal of 828421948000 is 849124828.

It is a super-2 number, since 2×828421948000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45858970 + ... + 45877030.

It is an arithmetic number, because the mean of its divisors is an integer number (21205447263).

Almost surely, 2^828421948000 is an apocalyptic number.

828421948000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828421948000 is an abundant number, since it is smaller than the sum of its proper divisors (1207300989248).

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

828421948000 is a wasteful number, since it uses less digits than its factorization.

828421948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29553 (or 29535 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 828421948000 in words is "eight hundred twenty-eight billion, four hundred twenty-one million, nine hundred forty-eight thousand".