42687828 has 36 divisors (see below), whose sum is σ = 108139668. Its totient is φ = 14198400.

The previous prime is 42687823. The next prime is 42687859. The reversal of 42687828 is 82878624.

It is a happy number.

42687828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22867524 + 19820304 = 4782^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×42687828³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42687823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20650 + ... + 22622.

Almost surely, 2^42687828 is an apocalyptic number.

It is an amenable number.

42687828 is an abundant number, since it is smaller than the sum of its proper divisors (65451840).

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

42687828 is a wasteful number, since it uses less digits than its factorization.

42687828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2579 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 42687828 is about 6533.5922737802. The cubic root of 42687828 is about 349.4899454947.

The spelling of 42687828 in words is "forty-two million, six hundred eighty-seven thousand, eight hundred twenty-eight".