828518656 has 81 divisors (see below), whose sum is σ = 1931323989. Its totient is φ = 353697792.

The previous prime is 828518641. The next prime is 828518707. The reversal of 828518656 is 656815828.

It is a happy number.

The square root of 828518656 is 28784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 815673600 + 12845056 = 28560^2 + 3584^2 .

It is a super-3 number, since 3×828518656³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3223680 + ... + 3223936.

Almost surely, 2^828518656 is an apocalyptic number.

828518656 is the 28784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828518656

828518656 is an abundant number, since it is smaller than the sum of its proper divisors (1102805333).

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

828518656 is an frugal number, since it uses more digits than its factorization.

828518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 266 counting only the distinct ones).

The product of its digits is 921600, while the sum is 49.

The cubic root of 828518656 is about 939.2202134167.

Multiplying 828518656 by its sum of digits (49), we get a square (40597414144 = 201488²).

828518656 divided by its sum of digits (49) gives a square (16908544 = 4112²).

Multiplying 828518656 by its product of digits (921600), we get a square (763562793369600 = 27632640²).

The spelling of 828518656 in words is "eight hundred twenty-eight million, five hundred eighteen thousand, six hundred fifty-six".