204785100828 has 288 divisors, whose sum is σ = 703050001920. Its totient is φ = 50877953280.

The previous prime is 204785100827. The next prime is 204785100841. The reversal of 204785100828 is 828001587402.

It is a happy number.

It is a super-2 number, since 2×204785100828² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204785100827) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1262400 + ... + 1415352.

It is an arithmetic number, because the mean of its divisors is an integer number (2441145840).

Almost surely, 2^204785100828 is an apocalyptic number.

204785100828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204785100828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351525000960).

204785100828 is an abundant number, since it is smaller than the sum of its proper divisors (498264901092).

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

204785100828 is a wasteful number, since it uses less digits than its factorization.

204785100828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153014 (or 152999 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 204785100828 in words is "two hundred four billion, seven hundred eighty-five million, one hundred thousand, eight hundred twenty-eight".