42028892568 has 288 divisors, whose sum is σ = 129210531840. Its totient is φ = 12320605440.

The previous prime is 42028892539. The next prime is 42028892627. The reversal of 42028892568 is 86529882024.

It is a happy number.

42028892568 is a `hidden beast` number, since 420 + 2 + 88 + 92 + 56 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25272105 + ... + 25273767.

It is an arithmetic number, because the mean of its divisors is an integer number (448647680).

Almost surely, 2^42028892568 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 42028892568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64605265920).

42028892568 is an abundant number, since it is smaller than the sum of its proper divisors (87181639272).

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

42028892568 is a wasteful number, since it uses less digits than its factorization.

42028892568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 42028892568 in words is "forty-two billion, twenty-eight million, eight hundred ninety-two thousand, five hundred sixty-eight".