828468 has 30 divisors (see below), whose sum is σ = 2166626. Its totient is φ = 276048.

The previous prime is 828449. The next prime is 828517. The reversal of 828468 is 864828.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 142884 = 828^2 + 378^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828468.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 955 + ... + 1602.

2⁸²⁸⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

828468 is an abundant number, since it is smaller than the sum of its proper divisors (1338158).

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

828468 is a wasteful number, since it uses less digits than its factorization.

828468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2562 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 828468 is about 910.2021753435. The cubic root of 828468 is about 93.9201071579.

It can be divided in two parts, 828 and 468, that added together give a 4-th power (1296 = 6⁴).

The spelling of 828468 in words is "eight hundred twenty-eight thousand, four hundred sixty-eight".