42528160 has 48 divisors (see below), whose sum is σ = 101172456. Its totient is φ = 16892928.

The previous prime is 42528151. The next prime is 42528179. The reversal of 42528160 is 6182524.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 14776336 = 5268^2 + 3844^2 .

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 7 ways as a sum of consecutive naturals, for example, 24274 + ... + 25966.

Almost surely, 2^42528160 is an apocalyptic number.

42528160 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 42528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50586228).

42528160 is an abundant number, since it is smaller than the sum of its proper divisors (58644296).

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

42528160 is a wasteful number, since it uses less digits than its factorization.

42528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 42528160 is about 6521.3618209696. The cubic root of 42528160 is about 349.0536612589.

The spelling of 42528160 in words is "forty-two million, five hundred twenty-eight thousand, one hundred sixty".