827511228 has 84 divisors (see below), whose sum is σ = 2185798888. Its totient is φ = 273987360.

The previous prime is 827511203. The next prime is 827511277. The reversal of 827511228 is 822115728.

827511228 is digitally balanced in base 2, because in such base 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 827511192 and 827511201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 474438 + ... + 476178.

Almost surely, 2^827511228 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 827511228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092899444).

827511228 is an abundant number, since it is smaller than the sum of its proper divisors (1358287660).

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

827511228 is a wasteful number, since it uses less digits than its factorization.

827511228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1909 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 827511228 is about 28766.4948855435. The cubic root of 827511228 is about 938.8393809114.

It can be divided in two parts, 8275 and 11228, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 827511228 in words is "eight hundred twenty-seven million, five hundred eleven thousand, two hundred twenty-eight".