42596928 has 196 divisors, whose sum is σ = 139921488. Its totient is φ = 12752640.

The previous prime is 42596927. The next prime is 42596929. The reversal of 42596928 is 82969524.

It is an interprime number because it is at equal distance from previous prime (42596927) and next prime (42596929).

It is not an unprimeable number, because it can be changed into a prime (42596923) 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 27 ways as a sum of consecutive naturals, for example, 513175 + ... + 513257.

Almost surely, 2^42596928 is an apocalyptic number.

42596928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69960744).

42596928 is an abundant number, since it is smaller than the sum of its proper divisors (97324560).

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

42596928 is an equidigital number, since it uses as much as digits as its factorization.

42596928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 42596928 is about 6526.6322096469. The cubic root of 42596928 is about 349.2416997710.

The spelling of 42596928 in words is "forty-two million, five hundred ninety-six thousand, nine hundred twenty-eight".