42418728 has 120 divisors (see below), whose sum is σ = 130836090. Its totient is φ = 12830400.

The previous prime is 42418711. The next prime is 42418741. The reversal of 42418728 is 82781424.

It can be written as a sum of positive squares in only one way, i.e., 37675044 + 4743684 = 6138^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42418692 and 42418701.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78138 + ... + 78678.

Almost surely, 2^42418728 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 42418728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65418045).

42418728 is an abundant number, since it is smaller than the sum of its proper divisors (88417362).

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

42418728 is a wasteful number, since it uses less digits than its factorization.

42418728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 557 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42418728 is about 6512.9661445458. The cubic root of 42418728 is about 348.7540131345.

The spelling of 42418728 in words is "forty-two million, four hundred eighteen thousand, seven hundred twenty-eight".