42590628 has 72 divisors (see below), whose sum is σ = 115053120. Its totient is φ = 13245120.

The previous prime is 42590623. The next prime is 42590629. The reversal of 42590628 is 82609524.

It is a happy number.

42590628 is a `hidden beast` number, since 4 + 2 + 590 + 62 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42590592 and 42590601.

It is not an unprimeable number, because it can be changed into a prime (42590623) 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 23 ways as a sum of consecutive naturals, for example, 48126 + ... + 49002.

It is an arithmetic number, because the mean of its divisors is an integer number (1597960).

It is a vampire number, since it can be written as 5262 ⋅ 8094 (with its own digits).

Almost surely, 2^42590628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42590628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57526560).

42590628 is an abundant number, since it is smaller than the sum of its proper divisors (72462492).

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

42590628 is a wasteful number, since it uses less digits than its factorization.

42590628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42590628 is about 6526.1495539100. The cubic root of 42590628 is about 349.2244815404.

The spelling of 42590628 in words is "forty-two million, five hundred ninety thousand, six hundred twenty-eight".