82428200208000 has 512 divisors, whose sum is σ = 303662253024000. Its totient is φ = 21977109504000.

The previous prime is 82428200207987. The next prime is 82428200208001. The reversal of 82428200208000 is 80200282428.

82428200208000 is a `hidden beast` number, since 8 + 2 + 428 + 20 + 0 + 208 + 0 + 0 + 0 = 666.

82428200208000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (82428200208001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3322499596 + ... + 3322524404.

Almost surely, 2^{82428200208000} is an apocalyptic number.

82428200208000 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 82428200208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151831126512000).

82428200208000 is an abundant number, since it is smaller than the sum of its proper divisors (221234052816000).

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

82428200208000 is a wasteful number, since it uses less digits than its factorization.

82428200208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32538 (or 32510 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 82428200208000 in words is "eighty-two trillion, four hundred twenty-eight billion, two hundred million, two hundred eight thousand".