42828224 has 56 divisors (see below), whose sum is σ = 87965280. Its totient is φ = 20680704.

The previous prime is 42828221. The next prime is 42828229. The reversal of 42828224 is 42282824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42828221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415757 + ... + 415859.

Almost surely, 2^42828224 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 42828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43982640).

42828224 is an abundant number, since it is smaller than the sum of its proper divisors (45137056).

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

42828224 is a wasteful number, since it uses less digits than its factorization.

42828224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 42828224 is about 6544.3276201608. The cubic root of 42828224 is about 349.8726720518.

The spelling of 42828224 in words is "forty-two million, eight hundred twenty-eight thousand, two hundred twenty-four".