42167628 has 30 divisors (see below), whose sum is σ = 110235356. Its totient is φ = 14055768.

The previous prime is 42167627. The next prime is 42167651. The reversal of 42167628 is 82676124.

42167628 is a `hidden beast` number, since 4 + 21 + 6 + 7 + 628 = 666.

It is a super-2 number, since 2×42167628² = 3556217702292768, which contains 22 as substring.

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 = 42167592 and 42167601.

It is not an unprimeable number, because it can be changed into a prime (42167627) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64750 + ... + 65397.

Almost surely, 2^42167628 is an apocalyptic number.

It is an amenable number.

42167628 is an abundant number, since it is smaller than the sum of its proper divisors (68067728).

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

42167628 is a wasteful number, since it uses less digits than its factorization.

42167628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130163 (or 130152 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 42167628 is about 6493.6606009246. The cubic root of 42167628 is about 348.0644945864.

The spelling of 42167628 in words is "forty-two million, one hundred sixty-seven thousand, six hundred twenty-eight".