828473458680 has 384 divisors, whose sum is σ = 3314564997120. Its totient is φ = 175288734720.

The previous prime is 828473458669. The next prime is 828473458717. The reversal of 828473458680 is 86854374828.

828473458680 is a `hidden beast` number, since 8 + 2 + 8 + 47 + 3 + 4 + 586 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1566214 + ... + 2027306.

It is an arithmetic number, because the mean of its divisors is an integer number (8631679680).

Almost surely, 2^828473458680 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 828473458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657282498560).

828473458680 is an abundant number, since it is smaller than the sum of its proper divisors (2486091538440).

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

828473458680 is a wasteful number, since it uses less digits than its factorization.

828473458680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461171 (or 461164 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 828473458680 in words is "eight hundred twenty-eight billion, four hundred seventy-three million, four hundred fifty-eight thousand, six hundred eighty".