828479019456 has 448 divisors, whose sum is σ = 2818947432960. Its totient is φ = 235810897920.

The previous prime is 828479019451. The next prime is 828479019457. The reversal of 828479019456 is 654910974828.

828479019456 is a `hidden beast` number, since 8 + 2 + 84 + 7 + 90 + 19 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 828479019393 and 828479019402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828479019451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179984451 + ... + 179989053.

Almost surely, 2^828479019456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828479019456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409473716480).

828479019456 is an abundant number, since it is smaller than the sum of its proper divisors (1990468413504).

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

828479019456 is a wasteful number, since it uses less digits than its factorization.

828479019456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 828479019456 in words is "eight hundred twenty-eight billion, four hundred seventy-nine million, nineteen thousand, four hundred fifty-six".