828885960 has 480 divisors, whose sum is σ = 3396634560. Its totient is φ = 180423936.

The previous prime is 828885923. The next prime is 828885973. The reversal of 828885960 is 69588828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 828885897 and 828885906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3651367 + ... + 3651593.

It is an arithmetic number, because the mean of its divisors is an integer number (7076322).

Almost surely, 2^828885960 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 828885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698317280).

828885960 is an abundant number, since it is smaller than the sum of its proper divisors (2567748600).

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

828885960 is a wasteful number, since it uses less digits than its factorization.

828885960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 828885960 is about 28790.3796432072. The cubic root of 828885960 is about 939.3589865438.

The spelling of 828885960 in words is "eight hundred twenty-eight million, eight hundred eighty-five thousand, nine hundred sixty".