42032628 has 48 divisors (see below), whose sum is σ = 118883520. Its totient is φ = 12736800.

The previous prime is 42032623. The next prime is 42032659. The reversal of 42032628 is 82623024.

42032628 is a `hidden beast` number, since 4 + 2 + 0 + 32 + 628 = 666.

42032628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16503 + ... + 18878.

It is an arithmetic number, because the mean of its divisors is an integer number (2476740).

Almost surely, 2^42032628 is an apocalyptic number.

It is an amenable number.

42032628 is an abundant number, since it is smaller than the sum of its proper divisors (76850892).

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

42032628 is a wasteful number, since it uses less digits than its factorization.

42032628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35405 (or 35397 counting only the distinct ones).

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

The square root of 42032628 is about 6483.2575145524. The cubic root of 42032628 is about 347.6926537273.

The spelling of 42032628 in words is "forty-two million, thirty-two thousand, six hundred twenty-eight".