42086628 has 96 divisors (see below), whose sum is σ = 117371520. Its totient is φ = 13156992.

The previous prime is 42086621. The next prime is 42086633. The reversal of 42086628 is 82668024.

42086628 is a `hidden beast` number, since 4 + 20 + 8 + 6 + 628 = 666.

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 = 42086592 and 42086601.

It is not an unprimeable number, because it can be changed into a prime (42086621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148575 + ... + 148857.

It is an arithmetic number, because the mean of its divisors is an integer number (1222620).

Almost surely, 2^42086628 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 42086628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58685760).

42086628 is an abundant number, since it is smaller than the sum of its proper divisors (75284892).

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

42086628 is a wasteful number, since it uses less digits than its factorization.

42086628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42086628 is about 6487.4207509610. The cubic root of 42086628 is about 347.8414854768.

The spelling of 42086628 in words is "forty-two million, eighty-six thousand, six hundred twenty-eight".