42528768 has 52 divisors (see below), whose sum is σ = 113428968. Its totient is φ = 14172160.

The previous prime is 42528751. The next prime is 42528833. The reversal of 42528768 is 86782524.

It is a happy number.

It is a super-2 number, since 2×42528768² = 3617392215195648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10558 + ... + 14018.

Almost surely, 2^42528768 is an apocalyptic number.

42528768 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 42528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56714484).

42528768 is an abundant number, since it is smaller than the sum of its proper divisors (70900200).

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

42528768 is an equidigital number, since it uses as much as digits as its factorization.

42528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3466 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 42528768 is about 6521.4084368333. The cubic root of 42528768 is about 349.0553246557.

The spelling of 42528768 in words is "forty-two million, five hundred twenty-eight thousand, seven hundred sixty-eight".