828414 has 48 divisors (see below), whose sum is σ = 1990800. Its totient is φ = 255024.

The previous prime is 828409. The next prime is 828431. The reversal of 828414 is 414828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

828414 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28552 + ... + 28580.

It is an arithmetic number, because the mean of its divisors is an integer number (41475).

2⁸²⁸⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995400).

828414 is an abundant number, since it is smaller than the sum of its proper divisors (1162386).

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

828414 is a wasteful number, since it uses less digits than its factorization.

828414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 828414 is about 910.1725111208. The cubic root of 828414 is about 93.9180665255.

The spelling of 828414 in words is "eight hundred twenty-eight thousand, four hundred fourteen".