828482688 has 512 divisors, whose sum is σ = 2976768000. Its totient is φ = 223948800.

The previous prime is 828482647. The next prime is 828482689. The reversal of 828482688 is 886284828.

828482688 is a `hidden beast` number, since 82 + 8 + 482 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (828482689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22391406 + ... + 22391442.

It is an arithmetic number, because the mean of its divisors is an integer number (5814000).

Almost surely, 2^828482688 is an apocalyptic number.

828482688 is a gapful number since it is divisible by the number (88) 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 828482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488384000).

828482688 is an abundant number, since it is smaller than the sum of its proper divisors (2148285312).

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

828482688 is a wasteful number, since it uses less digits than its factorization.

828482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 828482688 is about 28783.3752016681. The cubic root of 828482688 is about 939.2066219458.

The spelling of 828482688 in words is "eight hundred twenty-eight million, four hundred eighty-two thousand, six hundred eighty-eight".