828407207232 has 560 divisors, whose sum is σ = 2840987033280. Its totient is φ = 236042035200.

The previous prime is 828407207231. The next prime is 828407207263. The reversal of 828407207232 is 232702704828.

828407207232 is a `hidden beast` number, since 8 + 2 + 8 + 407 + 2 + 0 + 7 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828407207231) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148430682 + ... + 148436262.

Almost surely, 2^828407207232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828407207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420493516640).

828407207232 is an abundant number, since it is smaller than the sum of its proper divisors (2012579826048).

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

828407207232 is a wasteful number, since it uses less digits than its factorization.

828407207232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 828407207232 in words is "eight hundred twenty-eight billion, four hundred seven million, two hundred seven thousand, two hundred thirty-two".