828364838301 has 384 divisors, whose sum is σ = 1733669683200. Its totient is φ = 367298426880.

The previous prime is 828364838269. The next prime is 828364838317. The reversal of 828364838301 is 103838463828.

828364838301 is a `hidden beast` number, since 8 + 2 + 83 + 6 + 483 + 83 + 0 + 1 = 666.

828364838301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828364838301 - 2⁵ = 828364838269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828364838341) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 647665380 + ... + 647666658.

It is an arithmetic number, because the mean of its divisors is an integer number (4514764800).

Almost surely, 2^828364838301 is an apocalyptic number.

It is an amenable number.

828364838301 is an abundant number, since it is smaller than the sum of its proper divisors (905304844899).

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

828364838301 is a wasteful number, since it uses less digits than its factorization.

828364838301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 828364838301 in words is "eight hundred twenty-eight billion, three hundred sixty-four million, eight hundred thirty-eight thousand, three hundred one".