828035505 has 24 divisors (see below), whose sum is σ = 1565740800. Its totient is φ = 401471520.

The previous prime is 828035503. The next prime is 828035557. The reversal of 828035505 is 505530828.

828035505 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 828035505 - 2¹ = 828035503 is a prime.

It is a super-3 number, since 3×828035505³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828035505.

It is not an unprimeable number, because it can be changed into a prime (828035501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 835905 + ... + 836894.

It is an arithmetic number, because the mean of its divisors is an integer number (65239200).

Almost surely, 2^828035505 is an apocalyptic number.

It is an amenable number.

828035505 is a deficient number, since it is larger than the sum of its proper divisors (737705295).

828035505 is a wasteful number, since it uses less digits than its factorization.

828035505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672821 (or 1672818 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 828035505 is about 28775.6060752854. The cubic root of 828035505 is about 939.0376090303.

The spelling of 828035505 in words is "eight hundred twenty-eight million, thirty-five thousand, five hundred five".