828250166700 has 648 divisors, whose sum is σ = 2989627870320. Its totient is φ = 198728640000.

The previous prime is 828250166687. The next prime is 828250166707. The reversal of 828250166700 is 7661052828.

828250166700 is a `hidden beast` number, since 8 + 2 + 82 + 501 + 6 + 67 + 0 + 0 = 666.

828250166700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (828250166707) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 296968906 + ... + 296971694.

Almost surely, 2^828250166700 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 828250166700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494813935160).

828250166700 is an abundant number, since it is smaller than the sum of its proper divisors (2161377703620).

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

828250166700 is a wasteful number, since it uses less digits than its factorization.

828250166700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 828250166700 in words is "eight hundred twenty-eight billion, two hundred fifty million, one hundred sixty-six thousand, seven hundred".