828341100 has 288 divisors, whose sum is σ = 2856761600. Its totient is φ = 205286400.

The previous prime is 828341083. The next prime is 828341161. The reversal of 828341100 is 1143828.

It is a super-2 number, since 2×828341100² = 1372297955898420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3436980 + ... + 3437220.

Almost surely, 2^828341100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428380800).

828341100 is an abundant number, since it is smaller than the sum of its proper divisors (2028420500).

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

828341100 is a wasteful number, since it uses less digits than its factorization.

828341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 828341100 is about 28780.9155518027. The cubic root of 828341100 is about 939.1531153104.

Adding to 828341100 its reverse (1143828), we get a palindrome (829484928).

The spelling of 828341100 in words is "eight hundred twenty-eight million, three hundred forty-one thousand, one hundred".