2028434784 has 96 divisors (see below), whose sum is σ = 5441022720. Its totient is φ = 661516800.

The previous prime is 2028434773. The next prime is 2028434797. The reversal of 2028434784 is 4874348202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2028434784² = 8229095345882253312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946354 + ... + 948494.

It is an arithmetic number, because the mean of its divisors is an integer number (56677320).

Almost surely, 2^2028434784 is an apocalyptic number.

2028434784 is a gapful number since it is divisible by the number (24) 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 2028434784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720511360).

2028434784 is an abundant number, since it is smaller than the sum of its proper divisors (3412587936).

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

2028434784 is a wasteful number, since it uses less digits than its factorization.

2028434784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The square root of 2028434784 is about 45038.1480969189. The cubic root of 2028434784 is about 1265.8639047691.

The spelling of 2028434784 in words is "two billion, twenty-eight million, four hundred thirty-four thousand, seven hundred eighty-four".