828640400000 has 192 divisors, whose sum is σ = 2358152818560. Its totient is φ = 284104320000.

The previous prime is 828640399969. The next prime is 828640400039. The reversal of 828640400000 is 4046828.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 828640400000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2652029 + ... + 2947971.

It is an arithmetic number, because the mean of its divisors is an integer number (12282045930).

Almost surely, 2^828640400000 is an apocalyptic number.

828640400000 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 828640400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179076409280).

828640400000 is an abundant number, since it is smaller than the sum of its proper divisors (1529512418560).

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

828640400000 is an frugal number, since it uses more digits than its factorization.

828640400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295989 (or 295957 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 828640400000 its reverse (4046828), we get a palindrome (828644446828).

The spelling of 828640400000 in words is "eight hundred twenty-eight billion, six hundred forty million, four hundred thousand".