428212224 has 216 divisors, whose sum is σ = 1394600760. Its totient is φ = 129761280.

The previous prime is 428212171. The next prime is 428212243. The reversal of 428212224 is 422212824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

428212224 is a `hidden beast` number, since 428 + 2 + 12 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4096) is a multiple of the sum of its prime divisors (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38928379 + ... + 38928389.

It is an arithmetic number, because the mean of its divisors is an integer number (6456485).

Almost surely, 2^428212224 is an apocalyptic number.

428212224 is a gapful number since it is divisible by the number (44) 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 428212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697300380).

428212224 is an abundant number, since it is smaller than the sum of its proper divisors (966388536).

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

428212224 is an frugal number, since it uses more digits than its factorization.

428212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 16 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 428212224 is about 20693.2893470323. The cubic root of 428212224 is about 753.7367434118.

The spelling of 428212224 in words is "four hundred twenty-eight million, two hundred twelve thousand, two hundred twenty-four".