428327424 has 240 divisors, whose sum is σ = 1446931200. Its totient is φ = 121927680.

The previous prime is 428327407. The next prime is 428327437. The reversal of 428327424 is 424723824.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580409 + ... + 1580679.

It is an arithmetic number, because the mean of its divisors is an integer number (6028880).

Almost surely, 2^428327424 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 428327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723465600).

428327424 is an abundant number, since it is smaller than the sum of its proper divisors (1018603776).

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

428327424 is an equidigital number, since it uses as much as digits as its factorization.

428327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 283 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 428327424 is about 20696.0726709200. The cubic root of 428327424 is about 753.8043288150.

The spelling of 428327424 in words is "four hundred twenty-eight million, three hundred twenty-seven thousand, four hundred twenty-four".