828345672000 has 3024 divisors, whose sum is σ = 4038247309824. Its totient is φ = 158552064000.

The previous prime is 828345671963. The next prime is 828345672001. The reversal of 828345672000 is 276543828.

828345672000 is a `hidden beast` number, since 8 + 2 + 83 + 4 + 567 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×828345672000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828345672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17624375977 + ... + 17624376023.

Almost surely, 2^828345672000 is an apocalyptic number.

828345672000 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 828345672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019123654912).

828345672000 is an abundant number, since it is smaller than the sum of its proper divisors (3209901637824).

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

828345672000 is a wasteful number, since it uses less digits than its factorization.

828345672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 828345672000 in words is "eight hundred twenty-eight billion, three hundred forty-five million, six hundred seventy-two thousand".