42882768 has 30 divisors (see below), whose sum is σ = 120012594. Its totient is φ = 14294208.

The previous prime is 42882767. The next prime is 42882773. The reversal of 42882768 is 86728824.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 2585664 = 6348^2 + 1608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42882767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148755 + ... + 149042.

Almost surely, 2^42882768 is an apocalyptic number.

42882768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42882768 is an abundant number, since it is smaller than the sum of its proper divisors (77129826).

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

42882768 is a wasteful number, since it uses less digits than its factorization.

42882768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297811 (or 297802 counting only the distinct ones).

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

The square root of 42882768 is about 6548.4935672260. The cubic root of 42882768 is about 350.0211361386.

It can be divided in two parts, 4288 and 2768, that added together give a square (7056 = 84²).

The spelling of 42882768 in words is "forty-two million, eight hundred eighty-two thousand, seven hundred sixty-eight".