542409728 has 88 divisors (see below), whose sum is σ = 1279686144. Its totient is φ = 224870400.

The previous prime is 542409727. The next prime is 542409757. The reversal of 542409728 is 827904245.

It is not an unprimeable number, because it can be changed into a prime (542409727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220988 + ... + 223428.

It is an arithmetic number, because the mean of its divisors is an integer number (14541888).

Almost surely, 2^542409728 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 542409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639843072).

542409728 is an abundant number, since it is smaller than the sum of its proper divisors (737276416).

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

542409728 is a wasteful number, since it uses less digits than its factorization.

542409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 542409728 is about 23289.6914535165. The cubic root of 542409728 is about 815.5347854458.

The spelling of 542409728 in words is "five hundred forty-two million, four hundred nine thousand, seven hundred twenty-eight".