42413028 has 72 divisors (see below), whose sum is σ = 121921632. Its totient is φ = 11402496.

The previous prime is 42413027. The next prime is 42413029. The reversal of 42413028 is 82031424.

42413028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42413027) and next prime (42413029).

It is a junction number, because it is equal to n+sod(n) for n = 42412989 and 42413007.

It is not an unprimeable number, because it can be changed into a prime (42413023) 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 23 ways as a sum of consecutive naturals, for example, 7875 + ... + 12117.

It is an arithmetic number, because the mean of its divisors is an integer number (1693356).

Almost surely, 2^42413028 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 42413028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960816).

42413028 is an abundant number, since it is smaller than the sum of its proper divisors (79508604).

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

42413028 is a wasteful number, since it uses less digits than its factorization.

42413028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42413028 is about 6512.5285412043. The cubic root of 42413028 is about 348.7383912067.

The spelling of 42413028 in words is "forty-two million, four hundred thirteen thousand, twenty-eight".