428337819 has 48 divisors (see below), whose sum is σ = 786100224. Its totient is φ = 218635200.

The previous prime is 428337803. The next prime is 428337823. The reversal of 428337819 is 918733824.

It is not a de Polignac number, because 428337819 - 2⁴ = 428337803 is a prime.

It is a super-2 number, since 2×428337819² = 366946574371353522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428337839) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16954 + ... + 33824.

It is an arithmetic number, because the mean of its divisors is an integer number (16377088).

Almost surely, 2^428337819 is an apocalyptic number.

428337819 is a deficient number, since it is larger than the sum of its proper divisors (357762405).

428337819 is a wasteful number, since it uses less digits than its factorization.

428337819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928 (or 16925 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 428337819 is about 20696.3238039996. The cubic root of 428337819 is about 753.8104267455.

The spelling of 428337819 in words is "four hundred twenty-eight million, three hundred thirty-seven thousand, eight hundred nineteen".