828679632 has 120 divisors (see below), whose sum is σ = 2392659360. Its totient is φ = 246892800.

The previous prime is 828679619. The next prime is 828679679. The reversal of 828679632 is 236976828.

828679632 = T₁₂₃ + T₁₂₄ + ... + T₁₇₀₆.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 353119 + ... + 355457.

It is an arithmetic number, because the mean of its divisors is an integer number (19938828).

Almost surely, 2^828679632 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 828679632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196329680).

828679632 is an abundant number, since it is smaller than the sum of its proper divisors (1563979728).

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

828679632 is a wasteful number, since it uses less digits than its factorization.

828679632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2416 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 828679632 is about 28786.7961398972. The cubic root of 828679632 is about 939.2810376846.

It can be divided in two parts, 8286796 and 32, that added together give a palindrome (8286828).

The spelling of 828679632 in words is "eight hundred twenty-eight million, six hundred seventy-nine thousand, six hundred thirty-two".