828998080 has 56 divisors (see below), whose sum is σ = 1977463152. Its totient is φ = 331026432.

The previous prime is 828998057. The next prime is 828998087. The reversal of 828998080 is 80899828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828998087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216664 + ... + 220456.

It is an arithmetic number, because the mean of its divisors is an integer number (35311842).

Almost surely, 2^828998080 is an apocalyptic number.

828998080 is a gapful number since it is divisible by the number (80) 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 828998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988731576).

828998080 is an abundant number, since it is smaller than the sum of its proper divisors (1148465072).

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

828998080 is a wasteful number, since it uses less digits than its factorization.

828998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 52.

The square root of 828998080 is about 28792.3267555785. The cubic root of 828998080 is about 939.4013390451.

The spelling of 828998080 in words is "eight hundred twenty-eight million, nine hundred ninety-eight thousand, eighty".