827010828 has 108 divisors (see below), whose sum is σ = 2497727232. Its totient is φ = 229884480.

The previous prime is 827010827. The next prime is 827010851. The reversal of 827010828 is 828010728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 827010792 and 827010801.

It is not an unprimeable number, because it can be changed into a prime (827010827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58933 + ... + 71603.

It is an arithmetic number, because the mean of its divisors is an integer number (23127104).

Almost surely, 2^827010828 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 827010828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248863616).

827010828 is an abundant number, since it is smaller than the sum of its proper divisors (1670716404).

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

827010828 is a wasteful number, since it uses less digits than its factorization.

827010828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 827010828 is about 28757.7959517067. The cubic root of 827010828 is about 938.6501025315.

The spelling of 827010828 in words is "eight hundred twenty-seven million, ten thousand, eight hundred twenty-eight".