828552 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 247104.

The previous prime is 828547. The next prime is 828557. The reversal of 828552 is 255828.

It is an interprime number because it is at equal distance from previous prime (828547) and next prime (828557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828557) by changing a digit.

828552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10449 + ... + 10527.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁸²⁸⁵⁵² 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 828552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152000).

828552 is an abundant number, since it is smaller than the sum of its proper divisors (1475448).

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

828552 is a wasteful number, since it uses less digits than its factorization.

828552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 828552 is about 910.2483177683. The cubic root of 828552 is about 93.9232812988.

The spelling of 828552 in words is "eight hundred twenty-eight thousand, five hundred fifty-two".