828775948 has 144 divisors (see below), whose sum is σ = 2028716032. Its totient is φ = 287971200.

The previous prime is 828775943. The next prime is 828776063. The reversal of 828775948 is 849577828.

It is a junction number, because it is equal to n+sod(n) for n = 828775892 and 828775901.

It is not an unprimeable number, because it can be changed into a prime (828775943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1365061 + ... + 1365667.

Almost surely, 2^828775948 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 828775948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014358016).

828775948 is an abundant number, since it is smaller than the sum of its proper divisors (1199940084).

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

828775948 is a wasteful number, since it uses less digits than its factorization.

828775948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 58.

The square root of 828775948 is about 28788.4690110468. The cubic root of 828775948 is about 939.3174266115.

The spelling of 828775948 in words is "eight hundred twenty-eight million, seven hundred seventy-five thousand, nine hundred forty-eight".