828330624 has 256 divisors, whose sum is σ = 2709936000. Its totient is φ = 250076160.

The previous prime is 828330623. The next prime is 828330637. The reversal of 828330624 is 426033828.

828330624 is a `hidden beast` number, since 8 + 28 + 3 + 3 + 0 + 624 = 666.

It is a super-2 number, since 2×828330624² = 1372263245312458752, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828330623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3079162 + ... + 3079430.

Almost surely, 2^828330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354968000).

828330624 is an abundant number, since it is smaller than the sum of its proper divisors (1881605376).

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

828330624 is an equidigital number, since it uses as much as digits as its factorization.

828330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 828330624 is about 28780.7335556271. The cubic root of 828330624 is about 939.1491561485.

The spelling of 828330624 in words is "eight hundred twenty-eight million, three hundred thirty thousand, six hundred twenty-four".