828853641 has 40 divisors (see below), whose sum is σ = 1543696704. Its totient is φ = 430570080.

The previous prime is 828853631. The next prime is 828853661. The reversal of 828853641 is 146358828.

828853641 is a `hidden beast` number, since 8 + 288 + 5 + 364 + 1 = 666.

828853641 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 828853641 - 2¹⁰ = 828852617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828853631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60210 + ... + 72683.

Almost surely, 2^828853641 is an apocalyptic number.

828853641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

828853641 is a deficient number, since it is larger than the sum of its proper divisors (714843063).

828853641 is a wasteful number, since it uses less digits than its factorization.

828853641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132923 (or 132914 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 828853641 is about 28789.8183564954. The cubic root of 828853641 is about 939.3467775713.

The spelling of 828853641 in words is "eight hundred twenty-eight million, eight hundred fifty-three thousand, six hundred forty-one".