825552828 has 72 divisors (see below), whose sum is σ = 2139166848. Its totient is φ = 268364448.

The previous prime is 825552803. The next prime is 825552851. The reversal of 825552828 is 828255528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246775 + ... + 250097.

Almost surely, 2^825552828 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 825552828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069583424).

825552828 is an abundant number, since it is smaller than the sum of its proper divisors (1313614020).

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

825552828 is a wasteful number, since it uses less digits than its factorization.

825552828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3498 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 825552828 is about 28732.4351213050. The cubic root of 825552828 is about 938.0981722814.

The spelling of 825552828 in words is "eight hundred twenty-five million, five hundred fifty-two thousand, eight hundred twenty-eight".