42071328 has 144 divisors (see below), whose sum is σ = 136628856. Its totient is φ = 12165120.

The previous prime is 42071327. The next prime is 42071353. The reversal of 42071328 is 82317024.

It can be written as a sum of positive squares in 4 ways, for example, as 38787984 + 3283344 = 6228^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (42071327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63318 + ... + 63978.

Almost surely, 2^42071328 is an apocalyptic number.

42071328 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 42071328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68314428).

42071328 is an abundant number, since it is smaller than the sum of its proper divisors (94557528).

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

42071328 is a wasteful number, since it uses less digits than its factorization.

42071328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42071328 is about 6486.2414386145. The cubic root of 42071328 is about 347.7993294127.

The spelling of 42071328 in words is "forty-two million, seventy-one thousand, three hundred twenty-eight".