42035328 has 64 divisors (see below), whose sum is σ = 124072800. Its totient is φ = 14010624.

The previous prime is 42035321. The next prime is 42035341. The reversal of 42035328 is 82353024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42035321) by changing a digit.

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, 2626 + ... + 9537.

Almost surely, 2^42035328 is an apocalyptic number.

42035328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42035328 is an abundant number, since it is smaller than the sum of its proper divisors (82037472).

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

42035328 is a wasteful number, since it uses less digits than its factorization.

42035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186 (or 12168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42035328 is about 6483.4657398648. The cubic root of 42035328 is about 347.7000983413.

The spelling of 42035328 in words is "forty-two million, thirty-five thousand, three hundred twenty-eight".