42456528 has 80 divisors (see below), whose sum is σ = 127194240. Its totient is φ = 13533696.

The previous prime is 42456527. The next prime is 42456529. The reversal of 42456528 is 82565424.

It is a happy number.

42456528 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 (42456527) and next prime (42456529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42456492 and 42456501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456527) 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 15 ways as a sum of consecutive naturals, for example, 7800 + ... + 12072.

It is an arithmetic number, because the mean of its divisors is an integer number (1589928).

Almost surely, 2^42456528 is an apocalyptic number.

42456528 is a gapful number since it is divisible by the number (48) 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 42456528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63597120).

42456528 is an abundant number, since it is smaller than the sum of its proper divisors (84737712).

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

42456528 is a wasteful number, since it uses less digits than its factorization.

42456528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4301 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 42456528 is about 6515.8674019658. The cubic root of 42456528 is about 348.8575757858.

The spelling of 42456528 in words is "forty-two million, four hundred fifty-six thousand, five hundred twenty-eight".