428283024 has 80 divisors (see below), whose sum is σ = 1197840000. Its totient is φ = 131079168.

The previous prime is 428283017. The next prime is 428283077. The reversal of 428283024 is 420382824.

It is a Cunningham number, because it is equal to 20695²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122452 + ... + 125900.

It is an arithmetic number, because the mean of its divisors is an integer number (14973000).

Almost surely, 2^428283024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428283024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598920000).

428283024 is an abundant number, since it is smaller than the sum of its proper divisors (769556976).

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

428283024 is a wasteful number, since it uses less digits than its factorization.

428283024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 428283024 is about 20694.9999758396. Note that the first 4 decimals coincide. The cubic root of 428283024 is about 753.7782817096.

The spelling of 428283024 in words is "four hundred twenty-eight million, two hundred eighty-three thousand, twenty-four".