828995424048 has 400 divisors, whose sum is σ = 2675657318400. Its totient is φ = 245684275200.

The previous prime is 828995424043. The next prime is 828995424079. The reversal of 828995424048 is 840424599828.

828995424048 is a `hidden beast` number, since 8 + 2 + 8 + 9 + 9 + 542 + 40 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (828995424043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 128543128 + ... + 128549576.

It is an arithmetic number, because the mean of its divisors is an integer number (6689143296).

Almost surely, 2^828995424048 is an apocalyptic number.

828995424048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828995424048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337828659200).

828995424048 is an abundant number, since it is smaller than the sum of its proper divisors (1846661894352).

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

828995424048 is a wasteful number, since it uses less digits than its factorization.

828995424048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 828995424048 in words is "eight hundred twenty-eight billion, nine hundred ninety-five million, four hundred twenty-four thousand, forty-eight".