828456864 has 96 divisors (see below), whose sum is σ = 2217305664. Its totient is φ = 270796800.

The previous prime is 828456859. The next prime is 828456883. The reversal of 828456864 is 468654828.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378164 + ... + 1378764.

It is an arithmetic number, because the mean of its divisors is an integer number (23096934).

Almost surely, 2^828456864 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 828456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108652832).

828456864 is an abundant number, since it is smaller than the sum of its proper divisors (1388848800).

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

828456864 is a wasteful number, since it uses less digits than its factorization.

828456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The square root of 828456864 is about 28782.9266058891. The cubic root of 828456864 is about 939.1968634141.

The spelling of 828456864 in words is "eight hundred twenty-eight million, four hundred fifty-six thousand, eight hundred sixty-four".