828334431 has 60 divisors (see below), whose sum is σ = 1333676520. Its totient is φ = 510883200.

The previous prime is 828334417. The next prime is 828334447. The reversal of 828334431 is 134433828.

It is a happy number.

828334431 is a `hidden beast` number, since 8 + 283 + 344 + 31 = 666.

It is not a de Polignac number, because 828334431 - 2¹¹ = 828332383 is a prime.

It is a super-3 number, since 3×828334431³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828334471) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8201281 + ... + 8201381.

It is an arithmetic number, because the mean of its divisors is an integer number (22227942).

Almost surely, 2^828334431 is an apocalyptic number.

828334431 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

828334431 is a deficient number, since it is larger than the sum of its proper divisors (505342089).

828334431 is a wasteful number, since it uses less digits than its factorization.

828334431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 196 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 828334431 is about 28780.7996935457. The cubic root of 828334431 is about 939.1505949200.

The spelling of 828334431 in words is "eight hundred twenty-eight million, three hundred thirty-four thousand, four hundred thirty-one".