542128356 has 288 divisors, whose sum is σ = 1823270400. Its totient is φ = 137712960.

The previous prime is 542128319. The next prime is 542128357. The reversal of 542128356 is 653821245.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542128356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542128357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3900135 + ... + 3900273.

It is an arithmetic number, because the mean of its divisors is an integer number (6330800).

Almost surely, 2^542128356 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 542128356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911635200).

542128356 is an abundant number, since it is smaller than the sum of its proper divisors (1281142044).

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

542128356 is a wasteful number, since it uses less digits than its factorization.

542128356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 542128356 is about 23283.6499716002. The cubic root of 542128356 is about 815.3937430248.

The spelling of 542128356 in words is "five hundred forty-two million, one hundred twenty-eight thousand, three hundred fifty-six".