828850968 has 240 divisors, whose sum is σ = 2638559880. Its totient is φ = 243064800.

The previous prime is 828850961. The next prime is 828850987. The reversal of 828850968 is 869058828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828850961) 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 59 ways as a sum of consecutive naturals, for example, 26737113 + ... + 26737143.

Almost surely, 2^828850968 is an apocalyptic number.

828850968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828850968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319279940).

828850968 is an abundant number, since it is smaller than the sum of its proper divisors (1809708912).

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

828850968 is a wasteful number, since it uses less digits than its factorization.

828850968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 47 counting only the distinct ones).

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

The square root of 828850968 is about 28789.7719337962. The cubic root of 828850968 is about 939.3457677925.

The spelling of 828850968 in words is "eight hundred twenty-eight million, eight hundred fifty thousand, nine hundred sixty-eight".