828160 has 36 divisors (see below), whose sum is σ = 1986768. Its totient is φ = 330752.

The previous prime is 828133. The next prime is 828169. The reversal of 828160 is 61828.

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (828169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 957 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (55188).

2⁸²⁸¹⁶⁰ is an apocalyptic number.

828160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993384).

828160 is an abundant number, since it is smaller than the sum of its proper divisors (1158608).

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

828160 is an equidigital number, since it uses as much as digits as its factorization.

828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 828160 is about 910.0329664358. The cubic root of 828160 is about 93.9084668055.

Adding to 828160 its reverse (61828), we get a palindrome (889988).

The spelling of 828160 in words is "eight hundred twenty-eight thousand, one hundred sixty".