828208003 has 8 divisors (see below), whose sum is σ = 947574272. Its totient is φ = 709104456.

The previous prime is 828207977. The next prime is 828208033. The reversal of 828208003 is 300802828.

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 828208003 - 2²⁹ = 291337091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828208033) 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, 58875 + ... + 71572.

It is an arithmetic number, because the mean of its divisors is an integer number (118446784).

Almost surely, 2^828208003 is an apocalyptic number.

828208003 is a deficient number, since it is larger than the sum of its proper divisors (119366269).

828208003 is a wasteful number, since it uses less digits than its factorization.

828208003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131361.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 828208003 is about 28778.6032148887. The cubic root of 828208003 is about 939.1028118957.

The spelling of 828208003 in words is "eight hundred twenty-eight million, two hundred eight thousand, three".