828608256 has 216 divisors, whose sum is σ = 2767739520. Its totient is φ = 233515008.

The previous prime is 828608227. The next prime is 828608279. The reversal of 828608256 is 652806828.

It is a super-2 number, since 2×828608256² = 1373183283822723072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338315 + ... + 1338933.

Almost surely, 2^828608256 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 828608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383869760).

828608256 is an abundant number, since it is smaller than the sum of its proper divisors (1939131264).

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

828608256 is a wasteful number, since it uses less digits than its factorization.

828608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 828608256 is about 28785.5563781560. The cubic root of 828608256 is about 939.2540694629.

The spelling of 828608256 in words is "eight hundred twenty-eight million, six hundred eight thousand, two hundred fifty-six".