428839488 has 336 divisors, whose sum is σ = 1589105280. Its totient is φ = 111006720.

The previous prime is 428839457. The next prime is 428839507. The reversal of 428839488 is 884938824.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1463470 + ... + 1463762.

It is an arithmetic number, because the mean of its divisors is an integer number (4729480).

Almost surely, 2^428839488 is an apocalyptic number.

428839488 is a gapful number since it is divisible by the number (48) 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 428839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794552640).

428839488 is an abundant number, since it is smaller than the sum of its proper divisors (1160265792).

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

428839488 is a wasteful number, since it uses less digits than its factorization.

428839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 428839488 is about 20708.4400185045. The cubic root of 428839488 is about 754.1045993723.

The spelling of 428839488 in words is "four hundred twenty-eight million, eight hundred thirty-nine thousand, four hundred eighty-eight".