42641928 has 192 divisors, whose sum is σ = 143145600. Its totient is φ = 11197440.

The previous prime is 42641881. The next prime is 42641969. The reversal of 42641928 is 82914624.

42641928 is a `hidden beast` number, since 4 + 2 + 641 + 9 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42641892 and 42641901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584100 + ... + 584172.

It is an arithmetic number, because the mean of its divisors is an integer number (745550).

Almost surely, 2^42641928 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 42641928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572800).

42641928 is an abundant number, since it is smaller than the sum of its proper divisors (100503672).

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

42641928 is a wasteful number, since it uses less digits than its factorization.

42641928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42641928 is about 6530.0787131550. The cubic root of 42641928 is about 349.3646377880.

The spelling of 42641928 in words is "forty-two million, six hundred forty-one thousand, nine hundred twenty-eight".