42788724 has 48 divisors (see below), whose sum is σ = 111873216. Its totient is φ = 12614400.

The previous prime is 42788689. The next prime is 42788729.

42788724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42788729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 9264.

It is an arithmetic number, because the mean of its divisors is an integer number (2330692).

Almost surely, 2^42788724 is an apocalyptic number.

42788724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42788724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55936608).

42788724 is an abundant number, since it is smaller than the sum of its proper divisors (69084492).

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

42788724 is a wasteful number, since it uses less digits than its factorization.

42788724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8814 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 42788724 is about 6541.3090433032. The cubic root of 42788724 is about 349.7650777281.

The spelling of 42788724 in words is "forty-two million, seven hundred eighty-eight thousand, seven hundred twenty-four".