42288876 has 72 divisors (see below), whose sum is σ = 125178144. Its totient is φ = 11784960.

The previous prime is 42288871. The next prime is 42288887. The reversal of 42288876 is 67888224.

42288876 = T₃₉₃ + T₃₉₄ + ... + T₆₇₉.

It is a happy number.

It is a super-3 number, since 3×42288876³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42288871) 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, 8286 + ... + 12378.

Almost surely, 2^42288876 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 42288876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62589072).

42288876 is an abundant number, since it is smaller than the sum of its proper divisors (82889268).

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

42288876 is a wasteful number, since it uses less digits than its factorization.

42288876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4146 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 42288876 is about 6502.9897739424. The cubic root of 42288876 is about 348.3977813695.

It can be divided in two parts, 422 and 88876, that added together give a palindrome (89298).

The spelling of 42288876 in words is "forty-two million, two hundred eighty-eight thousand, eight hundred seventy-six".