828100 has 81 divisors (see below), whose sum is σ = 2263527. Its totient is φ = 262080.

The previous prime is 828071. The next prime is 828101. The reversal of 828100 is 1828.

It is a happy number.

The square root of 828100 is 910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 614656 = 462^2 + 784^2 .

It is a super-2 number, since 2×828100² = 1371499220000, which contains 22 as substring.

It is a plaindrome in base 15.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (828101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63694 + ... + 63706.

2⁸²⁸¹⁰⁰ is an apocalyptic number.

828100 is the 910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828100

828100 is an abundant number, since it is smaller than the sum of its proper divisors (1435427).

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

828100 is a wasteful number, since it uses less digits than its factorization.

828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The cubic root of 828100 is about 93.9061988685.

Adding to 828100 its reverse (1828), we get a palindrome (829928).

The spelling of 828100 in words is "eight hundred twenty-eight thousand, one hundred".