828391449600 has 3168 divisors, whose sum is σ = 3927429878400. Its totient is φ = 168453734400.

The previous prime is 828391449569. The next prime is 828391449631. The reversal of 828391449600 is 6944193828.

828391449600 is a `hidden beast` number, since 8 + 28 + 3 + 9 + 1 + 4 + 4 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (828391449569) and next prime (828391449631).

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28565222386 + ... + 28565222414.

Almost surely, 2^828391449600 is an apocalyptic number.

828391449600 is a gapful number since it is divisible by the number (80) 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 828391449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963714939200).

828391449600 is an abundant number, since it is smaller than the sum of its proper divisors (3099038428800).

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

828391449600 is a wasteful number, since it uses less digits than its factorization.

828391449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 828391449600 in words is "eight hundred twenty-eight billion, three hundred ninety-one million, four hundred forty-nine thousand, six hundred".