828504954432 has 168 divisors, whose sum is σ = 2452838449152. Its totient is φ = 267099033600.

The previous prime is 828504954427. The next prime is 828504954437. The reversal of 828504954432 is 234459405828.

828504954432 is a `hidden beast` number, since 8 + 2 + 8 + 50 + 49 + 544 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (828504954427) and next prime (828504954437).

It is not an unprimeable number, because it can be changed into a prime (828504954437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31717057 + ... + 31743167.

It is an arithmetic number, because the mean of its divisors is an integer number (14600228864).

Almost surely, 2^828504954432 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 828504954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226419224576).

828504954432 is an abundant number, since it is smaller than the sum of its proper divisors (1624333494720).

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

828504954432 is a wasteful number, since it uses less digits than its factorization.

828504954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27937 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 828504954432 in words is "eight hundred twenty-eight billion, five hundred four million, nine hundred fifty-four thousand, four hundred thirty-two".