828480 has 56 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 220672.

The previous prime is 828449. The next prime is 828517. The reversal of 828480 is 84828.

It is a super-2 number, since 2×828480² = 1372758220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

828480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529 + ... + 1391.

2⁸²⁸⁴⁸⁰ is an apocalyptic number.

828480 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 828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

828480 is an abundant number, since it is smaller than the sum of its proper divisors (1804992).

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

828480 is a wasteful number, since it uses less digits than its factorization.

828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 828480 is about 910.2087672617. The cubic root of 828480 is about 93.9205606197.

The spelling of 828480 in words is "eight hundred twenty-eight thousand, four hundred eighty".