42648228 has 72 divisors (see below), whose sum is σ = 128637600. Its totient is φ = 12183696.

The previous prime is 42648227. The next prime is 42648239. The reversal of 42648228 is 82284624.

It is a happy number.

42648228 is a `hidden beast` number, since 4 + 2 + 648 + 2 + 2 + 8 = 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 = 42648192 and 42648201.

It is not an unprimeable number, because it can be changed into a prime (42648227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1263 + ... + 9321.

Almost surely, 2^42648228 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 42648228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64318800).

42648228 is an abundant number, since it is smaller than the sum of its proper divisors (85989372).

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

42648228 is a wasteful number, since it uses less digits than its factorization.

42648228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086 (or 8071 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42648228 is about 6530.5610784985. The cubic root of 42648228 is about 349.3818422073.

The spelling of 42648228 in words is "forty-two million, six hundred forty-eight thousand, two hundred twenty-eight".