825848528 has 40 divisors (see below), whose sum is σ = 1699816800. Its totient is φ = 387586944.

The previous prime is 825848479. The next prime is 825848651.

825848528 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20675 + ... + 45597.

It is an arithmetic number, because the mean of its divisors is an integer number (42495420).

Almost surely, 2^825848528 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 825848528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849908400).

825848528 is an abundant number, since it is smaller than the sum of its proper divisors (873968272).

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

825848528 is a wasteful number, since it uses less digits than its factorization.

825848528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25059 (or 25053 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 50.

The square root of 825848528 is about 28737.5804131106. The cubic root of 825848528 is about 938.2101629004.

The spelling of 825848528 in words is "eight hundred twenty-five million, eight hundred forty-eight thousand, five hundred twenty-eight".