542708828928 has 432 divisors, whose sum is σ = 1831927249152. Its totient is φ = 151317504000.

The previous prime is 542708828911. The next prime is 542708828929. The reversal of 542708828928 is 829828807245.

542708828928 is a `hidden beast` number, since 5 + 4 + 270 + 88 + 289 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (542708828929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128876743 + ... + 128880953.

It is an arithmetic number, because the mean of its divisors is an integer number (4240572336).

Almost surely, 2^542708828928 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 542708828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915963624576).

542708828928 is an abundant number, since it is smaller than the sum of its proper divisors (1289218420224).

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

542708828928 is a wasteful number, since it uses less digits than its factorization.

542708828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 542708828928 in words is "five hundred forty-two billion, seven hundred eight million, eight hundred twenty-eight thousand, nine hundred twenty-eight".