42528384 has 192 divisors, whose sum is σ = 135252000. Its totient is φ = 12773376.

The previous prime is 42528359. The next prime is 42528433. The reversal of 42528384 is 48382524.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (61440) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634719 + ... + 634785.

Almost surely, 2^42528384 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 42528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67626000).

42528384 is an abundant number, since it is smaller than the sum of its proper divisors (92723616).

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

42528384 is a wasteful number, since it uses less digits than its factorization.

42528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42528384 is about 6521.3789952739. The cubic root of 42528384 is about 349.0542740911.

The spelling of 42528384 in words is "forty-two million, five hundred twenty-eight thousand, three hundred eighty-four".