828416 has 22 divisors (see below), whose sum is σ = 1658070. Its totient is φ = 413696.

The previous prime is 828409. The next prime is 828431. The reversal of 828416 is 614828.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 25600 = 896^2 + 160^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 620 + ... + 1428.

2⁸²⁸⁴¹⁶ 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 828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829035).

828416 is an abundant number, since it is smaller than the sum of its proper divisors (829654).

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

828416 is an equidigital number, since it uses as much as digits as its factorization.

828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 811 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 828416 is about 910.1736098130. The cubic root of 828416 is about 93.9181421060.

The spelling of 828416 in words is "eight hundred twenty-eight thousand, four hundred sixteen".