828804354048 has 624 divisors, whose sum is σ = 2779972977600. Its totient is φ = 235268997120.

The previous prime is 828804354043. The next prime is 828804354061. The reversal of 828804354048 is 840453408828.

828804354048 is a `hidden beast` number, since 8 + 288 + 0 + 4 + 354 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 828804353985 and 828804354003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828804354043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747343318 + ... + 747344426.

It is an arithmetic number, because the mean of its divisors is an integer number (4455084900).

Almost surely, 2^828804354048 is an apocalyptic number.

828804354048 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 828804354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389986488800).

828804354048 is an abundant number, since it is smaller than the sum of its proper divisors (1951168623552).

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

828804354048 is a wasteful number, since it uses less digits than its factorization.

828804354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 828804354048 in words is "eight hundred twenty-eight billion, eight hundred four million, three hundred fifty-four thousand, forty-eight".