42588288 has 64 divisors (see below), whose sum is σ = 125704800. Its totient is φ = 14194944.

The previous prime is 42588283. The next prime is 42588289. The reversal of 42588288 is 88288524.

42588288 is a `hidden beast` number, since 42 + 588 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42588283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 9617.

Almost surely, 2^42588288 is an apocalyptic number.

42588288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42588288 is an abundant number, since it is smaller than the sum of its proper divisors (83116512).

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

42588288 is a wasteful number, since it uses less digits than its factorization.

42588288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12346 (or 12328 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 42588288 is about 6525.9702726874. The cubic root of 42588288 is about 349.2180857651.

The spelling of 42588288 in words is "forty-two million, five hundred eighty-eight thousand, two hundred eighty-eight".