42828984 has 96 divisors (see below), whose sum is σ = 134025840. Its totient is φ = 12211200.

The previous prime is 42828977. The next prime is 42829019. The reversal of 42828984 is 48982824.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11874 + ... + 15054.

Almost surely, 2^42828984 is an apocalyptic number.

42828984 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 42828984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67012920).

42828984 is an abundant number, since it is smaller than the sum of its proper divisors (91196856).

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

42828984 is a wasteful number, since it uses less digits than its factorization.

42828984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3214 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 42828984 is about 6544.3856854559. The cubic root of 42828984 is about 349.8747415723.

The spelling of 42828984 in words is "forty-two million, eight hundred twenty-eight thousand, nine hundred eighty-four".