428462216 has 64 divisors (see below), whose sum is σ = 1031788800. Its totient is φ = 162125568.

The previous prime is 428462207. The next prime is 428462227. The reversal of 428462216 is 612264824.

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, 3950 + ... + 29538.

It is an arithmetic number, because the mean of its divisors is an integer number (16121700).

Almost surely, 2^428462216 is an apocalyptic number.

428462216 is a gapful number since it is divisible by the number (46) 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 428462216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515894400).

428462216 is an abundant number, since it is smaller than the sum of its proper divisors (603326584).

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

428462216 is a wasteful number, since it uses less digits than its factorization.

428462216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25638 (or 25634 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 428462216 is about 20699.3288780095. The cubic root of 428462216 is about 753.8833930471.

The spelling of 428462216 in words is "four hundred twenty-eight million, four hundred sixty-two thousand, two hundred sixteen".