828057505 has 16 divisors (see below), whose sum is σ = 1147768704. Its totient is φ = 566798080.

The previous prime is 828057499. The next prime is 828057511. The reversal of 828057505 is 505750828.

828057505 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 (828057499) and next prime (828057511).

It is not a de Polignac number, because 828057505 - 2¹¹ = 828055457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441877 + ... + 443746.

It is an arithmetic number, because the mean of its divisors is an integer number (71735544).

Almost surely, 2^828057505 is an apocalyptic number.

828057505 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

828057505 is a deficient number, since it is larger than the sum of its proper divisors (319711199).

828057505 is a wasteful number, since it uses less digits than its factorization.

828057505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885656.

The product of its (nonzero) digits is 112000, while the sum is 40.

The square root of 828057505 is about 28775.9883409762. The cubic root of 828057505 is about 939.0459253583.

The spelling of 828057505 in words is "eight hundred twenty-eight million, fifty-seven thousand, five hundred five".