542320128 has 480 divisors, whose sum is σ = 2022299136. Its totient is φ = 136249344.

The previous prime is 542320087. The next prime is 542320183. The reversal of 542320128 is 821023245.

It is a super-2 number, since 2×542320128² = 588222242467872768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12612075 + ... + 12612117.

Almost surely, 2^542320128 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 542320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

542320128 is an abundant number, since it is smaller than the sum of its proper divisors (1479979008).

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

542320128 is a wasteful number, since it uses less digits than its factorization.

542320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 542320128 is about 23287.7677762382. The cubic root of 542320128 is about 815.4898772414.

The spelling of 542320128 in words is "five hundred forty-two million, three hundred twenty thousand, one hundred twenty-eight".