828608640 has 64 divisors (see below), whose sum is σ = 2641196160. Its totient is φ = 220961792.

The previous prime is 828608623. The next prime is 828608653. The reversal of 828608640 is 46806828.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 828608592 and 828608601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213864 + ... + 217703.

It is an arithmetic number, because the mean of its divisors is an integer number (41268690).

Almost surely, 2^828608640 is an apocalyptic number.

828608640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828608640 is an abundant number, since it is smaller than the sum of its proper divisors (1812587520).

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

828608640 is a wasteful number, since it uses less digits than its factorization.

828608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431589 (or 431577 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 828608640 is about 28785.5630481670. The cubic root of 828608640 is about 939.2542145550.

The spelling of 828608640 in words is "eight hundred twenty-eight million, six hundred eight thousand, six hundred forty".