828448959744 has 432 divisors, whose sum is σ = 2815112506752. Its totient is φ = 229416026112.

The previous prime is 828448959731. The next prime is 828448959773. The reversal of 828448959744 is 447959844828.

It is a happy number.

828448959744 is a `hidden beast` number, since 8 + 2 + 8 + 448 + 95 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70941234 + ... + 70952910.

It is an arithmetic number, because the mean of its divisors is an integer number (6516464136).

Almost surely, 2^828448959744 is an apocalyptic number.

828448959744 is a gapful number since it is divisible by the number (84) 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 828448959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407556253376).

828448959744 is an abundant number, since it is smaller than the sum of its proper divisors (1986663547008).

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

828448959744 is a wasteful number, since it uses less digits than its factorization.

828448959744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11825 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 828448959744 in words is "eight hundred twenty-eight billion, four hundred forty-eight million, nine hundred fifty-nine thousand, seven hundred forty-four".