828638208000 has 1792 divisors, whose sum is σ = 3400576058880. Its totient is φ = 198180864000.

The previous prime is 828638207989. The next prime is 828638208011. The reversal of 828638208000 is 802836828.

828638208000 is a `hidden beast` number, since 8 + 2 + 8 + 638 + 2 + 0 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (828638207989) and next prime (828638208011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19270655979 + ... + 19270656021.

It is an arithmetic number, because the mean of its divisors is an integer number (1897642890).

Almost surely, 2^828638208000 is an apocalyptic number.

828638208000 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 828638208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700288029440).

828638208000 is an abundant number, since it is smaller than the sum of its proper divisors (2571937850880).

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

828638208000 is a wasteful number, since it uses less digits than its factorization.

828638208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 828638208000 in words is "eight hundred twenty-eight billion, six hundred thirty-eight million, two hundred eight thousand".