542527128 has 384 divisors, whose sum is σ = 1886976000. Its totient is φ = 138378240.

The previous prime is 542527091. The next prime is 542527163. The reversal of 542527128 is 821725245.

It is a happy number.

542527128 is a `hidden beast` number, since 5 + 4 + 2 + 527 + 128 = 666.

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

Its product of digits (44800) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 542527092 and 542527101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6867393 + ... + 6867471.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^542527128 is an apocalyptic number.

542527128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542527128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

542527128 is an abundant number, since it is smaller than the sum of its proper divisors (1344448872).

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

542527128 is a wasteful number, since it uses less digits than its factorization.

542527128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 542527128 is about 23292.2117455599. The cubic root of 542527128 is about 815.5936197378.

The spelling of 542527128 in words is "five hundred forty-two million, five hundred twenty-seven thousand, one hundred twenty-eight".