2828192100 has 144 divisors (see below), whose sum is σ = 8466124800. Its totient is φ = 728507520.

The previous prime is 2828192069. The next prime is 2828192119. The reversal of 2828192100 is 12918282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112631 + ... + 1115169.

Almost surely, 2^2828192100 is an apocalyptic number.

2828192100 is a gapful number since it is divisible by the number (20) 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 2828192100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233062400).

2828192100 is an abundant number, since it is smaller than the sum of its proper divisors (5637932700).

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

2828192100 is a wasteful number, since it uses less digits than its factorization.

2828192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2828192100 is about 53180.7493365786. The cubic root of 2828192100 is about 1414.1743904971.

The spelling of 2828192100 in words is "two billion, eight hundred twenty-eight million, one hundred ninety-two thousand, one hundred".