828069102000 has 640 divisors, whose sum is σ = 3481771438080. Its totient is φ = 184154342400.

The previous prime is 828069101989. The next prime is 828069102041. The reversal of 828069102000 is 201960828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13956397 + ... + 14015603.

It is an arithmetic number, because the mean of its divisors is an integer number (5440267872).

Almost surely, 2^828069102000 is an apocalyptic number.

828069102000 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 828069102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740885719040).

828069102000 is an abundant number, since it is smaller than the sum of its proper divisors (2653702336080).

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

828069102000 is a wasteful number, since it uses less digits than its factorization.

828069102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59283 (or 59261 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 828069102000 in words is "eight hundred twenty-eight billion, sixty-nine million, one hundred two thousand".