828680045 has 12 divisors (see below), whose sum is σ = 1056353844. Its totient is φ = 623946240.

The previous prime is 828680033. The next prime is 828680057. The reversal of 828680045 is 540086828.

It is an interprime number because it is at equal distance from previous prime (828680033) and next prime (828680057).

It can be written as a sum of positive squares in 6 ways, for example, as 24730729 + 803949316 = 4973^2 + 28354^2 .

It is not a de Polignac number, because 828680045 - 2⁴ = 828680029 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 828679984 and 828680011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285296 + ... + 288185.

It is an arithmetic number, because the mean of its divisors is an integer number (88029487).

Almost surely, 2^828680045 is an apocalyptic number.

828680045 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

828680045 is a deficient number, since it is larger than the sum of its proper divisors (227673799).

828680045 is a wasteful number, since it uses less digits than its factorization.

828680045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573520 (or 573503 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 828680045 is about 28786.8033133240. The cubic root of 828680045 is about 939.2811937252.

The spelling of 828680045 in words is "eight hundred twenty-eight million, six hundred eighty thousand, forty-five".