42620928 has 96 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 12165120.

The previous prime is 42620917. The next prime is 42620959. The reversal of 42620928 is 82902624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42513 + ... + 43503.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^42620928 is an apocalyptic number.

42620928 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 42620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

42620928 is an abundant number, since it is smaller than the sum of its proper divisors (87370752).

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

42620928 is an equidigital number, since it uses as much as digits as its factorization.

42620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42620928 is about 6528.4705712747. The cubic root of 42620928 is about 349.3072774822.

The spelling of 42620928 in words is "forty-two million, six hundred twenty thousand, nine hundred twenty-eight".