828651408 has 160 divisors (see below), whose sum is σ = 2493590400. Its totient is φ = 234897408.

The previous prime is 828651379. The next prime is 828651433. The reversal of 828651408 is 804156828.

It is a self number, because there is not a number n which added to its sum of digits gives 828651408.

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 31 ways as a sum of consecutive naturals, for example, 437728 + ... + 439616.

It is an arithmetic number, because the mean of its divisors is an integer number (15584940).

Almost surely, 2^828651408 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 828651408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

828651408 is an abundant number, since it is smaller than the sum of its proper divisors (1664938992).

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

828651408 is a wasteful number, since it uses less digits than its factorization.

828651408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 828651408 is about 28786.3059109709. The cubic root of 828651408 is about 939.2703739058.

The spelling of 828651408 in words is "eight hundred twenty-eight million, six hundred fifty-one thousand, four hundred eight".