828541098 has 288 divisors, whose sum is σ = 2458460160. Its totient is φ = 198918720.

The previous prime is 828541073. The next prime is 828541099. The reversal of 828541098 is 890145828.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828541099) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10487823 + ... + 10487901.

It is an arithmetic number, because the mean of its divisors is an integer number (8536320).

Almost surely, 2^828541098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828541098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229230080).

828541098 is an abundant number, since it is smaller than the sum of its proper divisors (1629919062).

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

828541098 is a wasteful number, since it uses less digits than its factorization.

828541098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 828541098 is about 28784.3898319905. The cubic root of 828541098 is about 939.2286935273.

The spelling of 828541098 in words is "eight hundred twenty-eight million, five hundred forty-one thousand, ninety-eight".