828661440 has 224 divisors, whose sum is σ = 2795869440. Its totient is φ = 207360000.

The previous prime is 828661429. The next prime is 828661451. The reversal of 828661440 is 44166828.

It is an interprime number because it is at equal distance from previous prime (828661429) and next prime (828661451).

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 31 ways as a sum of consecutive naturals, for example, 3301315 + ... + 3301565.

It is an arithmetic number, because the mean of its divisors is an integer number (12481560).

Almost surely, 2^828661440 is an apocalyptic number.

828661440 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 828661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397934720).

828661440 is an abundant number, since it is smaller than the sum of its proper divisors (1967208000).

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

828661440 is a wasteful number, since it uses less digits than its factorization.

828661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 828661440 is about 28786.4801599640. The cubic root of 828661440 is about 939.2741642903.

The spelling of 828661440 in words is "eight hundred twenty-eight million, six hundred sixty-one thousand, four hundred forty".