828419161914828 has 324 divisors, whose sum is σ = 2361608728970400. Its totient is φ = 244667373793920.

The previous prime is 828419161914809. The next prime is 828419161914847.

828419161914828 is a `hidden beast` number, since 8 + 2 + 8 + 41 + 9 + 16 + 1 + 91 + 482 + 8 = 666.

828419161914828 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (828419161914809) and next prime (828419161914847).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3729003898 + ... + 3729226046.

Almost surely, 2^{828419161914828} 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 828419161914828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180804364485200).

828419161914828 is an abundant number, since it is smaller than the sum of its proper divisors (1533189567055572).

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

828419161914828 is a wasteful number, since it uses less digits than its factorization.

828419161914828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222730 (or 222671 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 72.

The spelling of 828419161914828 in words is "eight hundred twenty-eight trillion, four hundred nineteen billion, one hundred sixty-one million, nine hundred fourteen thousand, eight hundred twenty-eight".