828816457 has 8 divisors (see below), whose sum is σ = 947395136. Its totient is φ = 710281872.

The previous prime is 828816451. The next prime is 828816463. The reversal of 828816457 is 754618828.

828816457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828816451) and next prime (828816463).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828816457 - 2³ = 828816449 is a prime.

It is a super-3 number, since 3×828816457³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828816457.

It is not an unprimeable number, because it can be changed into a prime (828816451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58558 + ... + 71320.

It is an arithmetic number, because the mean of its divisors is an integer number (118424392).

Almost surely, 2^828816457 is an apocalyptic number.

It is an amenable number.

828816457 is a deficient number, since it is larger than the sum of its proper divisors (118578679).

828816457 is a wasteful number, since it uses less digits than its factorization.

828816457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22047.

The product of its digits is 860160, while the sum is 49.

The square root of 828816457 is about 28789.1725653934. The cubic root of 828816457 is about 939.3327303816.

The spelling of 828816457 in words is "eight hundred twenty-eight million, eight hundred sixteen thousand, four hundred fifty-seven".