102828785600 has 168 divisors, whose sum is σ = 261710594688. Its totient is φ = 39724646400.

The previous prime is 102828785567. The next prime is 102828785621. The reversal of 102828785600 is 6587828201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28617404 + ... + 28620996.

Almost surely, 2^102828785600 is an apocalyptic number.

102828785600 is a gapful number since it is divisible by the number (10) 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 102828785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130855297344).

102828785600 is an abundant number, since it is smaller than the sum of its proper divisors (158881809088).

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

102828785600 is a wasteful number, since it uses less digits than its factorization.

102828785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The spelling of 102828785600 in words is "one hundred two billion, eight hundred twenty-eight million, seven hundred eighty-five thousand, six hundred".