42788736 has 80 divisors (see below), whose sum is σ = 127369440. Its totient is φ = 14259456.

The previous prime is 42788729. The next prime is 42788743. The reversal of 42788736 is 63788724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42788729) and next prime (42788743).

It is a junction number, because it is equal to n+sod(n) for n = 42788691 and 42788700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8305 + ... + 12431.

It is an arithmetic number, because the mean of its divisors is an integer number (1592118).

Almost surely, 2^42788736 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 42788736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63684720).

42788736 is an abundant number, since it is smaller than the sum of its proper divisors (84580704).

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

42788736 is an equidigital number, since it uses as much as digits as its factorization.

42788736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4132 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 42788736 is about 6541.3099605507. The cubic root of 42788736 is about 349.7651104250.

The spelling of 42788736 in words is "forty-two million, seven hundred eighty-eight thousand, seven hundred thirty-six".