828093891456 has 1344 divisors, whose sum is σ = 2949544967040. Its totient is φ = 229771468800.

The previous prime is 828093891433. The next prime is 828093891461. The reversal of 828093891456 is 654198390828.

828093891456 is a `hidden beast` number, since 8 + 2 + 8 + 0 + 93 + 8 + 91 + 456 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 828093891393 and 828093891402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 13575309666 + ... + 13575309726.

It is an arithmetic number, because the mean of its divisors is an integer number (2194601910).

Almost surely, 2^828093891456 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 828093891456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474772483520).

828093891456 is an abundant number, since it is smaller than the sum of its proper divisors (2121451075584).

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

828093891456 is a wasteful number, since it uses less digits than its factorization.

828093891456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 828093891456 in words is "eight hundred twenty-eight billion, ninety-three million, eight hundred ninety-one thousand, four hundred fifty-six".