828288133 has 2 divisors, whose sum is σ = 828288134. Its totient is φ = 828288132.

The previous prime is 828288107. The next prime is 828288151. The reversal of 828288133 is 331882828.

828288133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819276129 + 9012004 = 28623^2 + 3002^2 .

It is a cyclic number.

It is not a de Polignac number, because 828288133 - 2¹³ = 828279941 is a prime.

It is a super-2 number, since 2×828288133² = 1372122462537251378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828288133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828288193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414144066 + 414144067.

It is an arithmetic number, because the mean of its divisors is an integer number (414144067).

Almost surely, 2^828288133 is an apocalyptic number.

It is an amenable number.

828288133 is a deficient number, since it is larger than the sum of its proper divisors (1).

828288133 is an equidigital number, since it uses as much as digits as its factorization.

828288133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 43.

The square root of 828288133 is about 28779.9953613617. The cubic root of 828288133 is about 939.1330973157.

The spelling of 828288133 in words is "eight hundred twenty-eight million, two hundred eighty-eight thousand, one hundred thirty-three".