42928288 has 48 divisors (see below), whose sum is σ = 93509640. Its totient is φ = 19270656.

The previous prime is 42928283. The next prime is 42928289. The reversal of 42928288 is 88282924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39287824 + 3640464 = 6268^2 + 1908^2 .

It is a super-2 number, since 2×42928288² = 3685675821221888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42928283) 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, 13998 + ... + 16786.

Almost surely, 2^42928288 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 42928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46754820).

42928288 is an abundant number, since it is smaller than the sum of its proper divisors (50581352).

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

42928288 is a wasteful number, since it uses less digits than its factorization.

42928288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2841 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 42928288 is about 6551.9682538913. The cubic root of 42928288 is about 350.1449413294.

It can be divided in two parts, 4 and 2928288, that added together give a palindrome (2928292).

The spelling of 42928288 in words is "forty-two million, nine hundred twenty-eight thousand, two hundred eighty-eight".