828987840 has 168 divisors, whose sum is σ = 2905707168. Its totient is φ = 216852480.

The previous prime is 828987839. The next prime is 828987853. The reversal of 828987840 is 48789828.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149925 + ... + 155355.

It is an arithmetic number, because the mean of its divisors is an integer number (17295876).

Almost surely, 2^828987840 is an apocalyptic number.

828987840 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 828987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452853584).

828987840 is an abundant number, since it is smaller than the sum of its proper divisors (2076719328).

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

828987840 is a wasteful number, since it uses less digits than its factorization.

828987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 828987840 is about 28792.1489298732. The cubic root of 828987840 is about 939.3974711193.

The spelling of 828987840 in words is "eight hundred twenty-eight million, nine hundred eighty-seven thousand, eight hundred forty".