2828317713100 has 72 divisors (see below), whose sum is σ = 6695671949568. Its totient is φ = 1028437300800.

The previous prime is 2828317713047. The next prime is 2828317713107. The reversal of 2828317713100 is 13177138282.

It is a super-2 number, since 2×2828317713100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2828317713107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43288657 + ... + 43353943.

It is an arithmetic number, because the mean of its divisors is an integer number (92995443744).

Almost surely, 2^{2828317713100} is an apocalyptic number.

2828317713100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828317713100 is an abundant number, since it is smaller than the sum of its proper divisors (3867354236468).

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

2828317713100 is a wasteful number, since it uses less digits than its factorization.

2828317713100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104695 (or 104688 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 2828317713100 in words is "two trillion, eight hundred twenty-eight billion, three hundred seventeen million, seven hundred thirteen thousand, one hundred".