42628320 has 144 divisors (see below), whose sum is σ = 166289760. Its totient is φ = 9741312.

The previous prime is 42628319. The next prime is 42628337. The reversal of 42628320 is 2382624.

42628320 is a `hidden beast` number, since 4 + 2 + 628 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7966 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 2^42628320 is an apocalyptic number.

42628320 is a gapful number since it is divisible by the number (40) 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 42628320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83144880).

42628320 is an abundant number, since it is smaller than the sum of its proper divisors (123661440).

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

42628320 is a wasteful number, since it uses less digits than its factorization.

42628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42628320 is about 6529.0366823904. The cubic root of 42628320 is about 349.3274704582.

The spelling of 42628320 in words is "forty-two million, six hundred twenty-eight thousand, three hundred twenty".