828228258 has 96 divisors (see below), whose sum is σ = 2135427840. Its totient is φ = 228683520.

The previous prime is 828228251. The next prime is 828228263. The reversal of 828228258 is 852822828.

It is not an unprimeable number, because it can be changed into a prime (828228251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201310 + ... + 205382.

It is an arithmetic number, because the mean of its divisors is an integer number (22244040).

Almost surely, 2^828228258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828228258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067713920).

828228258 is an abundant number, since it is smaller than the sum of its proper divisors (1307199582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828228258 is a wasteful number, since it uses less digits than its factorization.

828228258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4181 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 828228258 is about 28778.9551234926. The cubic root of 828228258 is about 939.1104675298.

The spelling of 828228258 in words is "eight hundred twenty-eight million, two hundred twenty-eight thousand, two hundred fifty-eight".