42624128 has 32 divisors (see below), whose sum is σ = 85815660. Its totient is φ = 21086208.

The previous prime is 42624119. The next prime is 42624143. The reversal of 42624128 is 82142624.

It can be written as a sum of positive squares in 2 ways, for example, as 42094144 + 529984 = 6488^2 + 728^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42624128.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10700 + ... + 14132.

Almost surely, 2^42624128 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 42624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907830).

42624128 is an abundant number, since it is smaller than the sum of its proper divisors (43191532).

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

42624128 is an equidigital number, since it uses as much as digits as its factorization.

42624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3532 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 42624128 is about 6528.7156470473. The cubic root of 42624128 is about 349.3160193168.

The spelling of 42624128 in words is "forty-two million, six hundred twenty-four thousand, one hundred twenty-eight".