828359532 has 288 divisors, whose sum is σ = 2849193984. Its totient is φ = 195955200.

The previous prime is 828359491. The next prime is 828359563. The reversal of 828359532 is 235953828.

828359532 is a `hidden beast` number, since 8 + 28 + 3 + 595 + 32 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4576482 + ... + 4576662.

Almost surely, 2^828359532 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 828359532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424596992).

828359532 is an abundant number, since it is smaller than the sum of its proper divisors (2020834452).

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

828359532 is a wasteful number, since it uses less digits than its factorization.

828359532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 344 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 828359532 is about 28781.2357622115. The cubic root of 828359532 is about 939.1600811774.

The spelling of 828359532 in words is "eight hundred twenty-eight million, three hundred fifty-nine thousand, five hundred thirty-two".