428779848 has 256 divisors, whose sum is σ = 1393459200. Its totient is φ = 107089920.

The previous prime is 428779843. The next prime is 428779861. The reversal of 428779848 is 848977824.

It is a Cunningham number, because it is equal to 20707²-1.

Its product of digits (7225344) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (428779843) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2567461 + ... + 2567627.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^428779848 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 428779848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696729600).

428779848 is an abundant number, since it is smaller than the sum of its proper divisors (964679352).

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

428779848 is a wasteful number, since it uses less digits than its factorization.

428779848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 57.

The square root of 428779848 is about 20706.9999758536. Note that the first 4 decimals coincide. The cubic root of 428779848 is about 754.0696392185.

It can be divided in two parts, 42877 and 9848, that added together give a palindrome (52725).

The spelling of 428779848 in words is "four hundred twenty-eight million, seven hundred seventy-nine thousand, eight hundred forty-eight".