42221628 has 48 divisors (see below), whose sum is σ = 113003520. Its totient is φ = 13618800.

The previous prime is 42221623. The next prime is 42221633. The reversal of 42221628 is 82612224.

It is a happy number.

42221628 is a `hidden beast` number, since 422 + 216 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (42221623) and next prime (42221633).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221623) 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, 2958 + ... + 9653.

It is an arithmetic number, because the mean of its divisors is an integer number (2354240).

Almost surely, 2^42221628 is an apocalyptic number.

It is an amenable number.

42221628 is an abundant number, since it is smaller than the sum of its proper divisors (70781892).

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

42221628 is a wasteful number, since it uses less digits than its factorization.

42221628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12655 (or 12647 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42221628 is about 6497.8171719432. The cubic root of 42221628 is about 348.2130087121.

It can be divided in two parts, 42221 and 628, that added together give a square (42849 = 207²).

The spelling of 42221628 in words is "forty-two million, two hundred twenty-one thousand, six hundred twenty-eight".