42966528 has 80 divisors (see below), whose sum is σ = 124920576. Its totient is φ = 13015040.

The previous prime is 42966523. The next prime is 42966533. The reversal of 42966528 is 82566924.

It is an interprime number because it is at equal distance from previous prime (42966523) and next prime (42966533).

It is a super-2 number, since 2×42966528² = 3692245056749568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42966528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42966523) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15625 + ... + 18167.

Almost surely, 2^42966528 is an apocalyptic number.

42966528 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 42966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460288).

42966528 is an abundant number, since it is smaller than the sum of its proper divisors (81954048).

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

42966528 is a wasteful number, since it uses less digits than its factorization.

42966528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2559 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 42966528 is about 6554.8858113624. The cubic root of 42966528 is about 350.2488787671.

The spelling of 42966528 in words is "forty-two million, nine hundred sixty-six thousand, five hundred twenty-eight".