542528 has 42 divisors (see below), whose sum is σ = 1259586. Its totient is φ = 231168.

The previous prime is 542519. The next prime is 542533. The reversal of 542528 is 825245.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 12544 = 728^2 + 112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 542497 and 542506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542528.

It is an unprimeable number.

542528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3050 + ... + 3222.

2⁵⁴²⁵²⁸ 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 542528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629793).

542528 is an abundant number, since it is smaller than the sum of its proper divisors (717058).

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

542528 is a wasteful number, since it uses less digits than its factorization.

542528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 542528 is about 736.5650005261. The cubic root of 542528 is about 81.5594056703.

The spelling of 542528 in words is "five hundred forty-two thousand, five hundred twenty-eight".