828748046736 has 135 divisors (see below), whose sum is σ = 2344528984161. Its totient is φ = 273281588352.

The previous prime is 828748046699. The next prime is 828748046759. The reversal of 828748046736 is 637640847828.

The square root of 828748046736 is 910356.

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

828748046736 is a `hidden beast` number, since 8 + 2 + 87 + 480 + 4 + 6 + 73 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110593493136 + 718154553600 = 332556^2 + 847440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1168896750 + ... + 1168897458.

Almost surely, 2^828748046736 is an apocalyptic number.

828748046736 is the 910356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828748046736

828748046736 is an abundant number, since it is smaller than the sum of its proper divisors (1515780937425).

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

828748046736 is an equidigital number, since it uses as much as digits as its factorization.

828748046736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 828748046736 in words is "eight hundred twenty-eight billion, seven hundred forty-eight million, forty-six thousand, seven hundred thirty-six".