42137928 has 192 divisors, whose sum is σ = 142992000. Its totient is φ = 11249280.

The previous prime is 42137903. The next prime is 42137929. The reversal of 42137928 is 82973124.

It is a super-2 number, since 2×42137928² = 3551209952266368, which contains 22 as substring.

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.

Its product of digits (24192) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 42137892 and 42137901.

It is not an unprimeable number, because it can be changed into a prime (42137929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359273 + ... + 1359303.

It is an arithmetic number, because the mean of its divisors is an integer number (744750).

Almost surely, 2^42137928 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 42137928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71496000).

42137928 is an abundant number, since it is smaller than the sum of its proper divisors (100854072).

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

42137928 is a wasteful number, since it uses less digits than its factorization.

42137928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42137928 is about 6491.3733523808. The cubic root of 42137928 is about 347.9827577664.

The spelling of 42137928 in words is "forty-two million, one hundred thirty-seven thousand, nine hundred twenty-eight".