528120142308 has 288 divisors, whose sum is σ = 1559256386688. Its totient is φ = 148945305600.

The previous prime is 528120142301. The next prime is 528120142309. The reversal of 528120142308 is 803241021825.

It is a happy number.

528120142308 is a `hidden beast` number, since 5 + 28 + 1 + 201 + 423 + 0 + 8 = 666.

It is a super-2 number, since 2×528120142308² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (528120142301) 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, 297196716 + ... + 297198492.

It is an arithmetic number, because the mean of its divisors is an integer number (5414084676).

Almost surely, 2^528120142308 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 528120142308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779628193344).

528120142308 is an abundant number, since it is smaller than the sum of its proper divisors (1031136244380).

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

528120142308 is a wasteful number, since it uses less digits than its factorization.

528120142308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 528120142308 in words is "five hundred twenty-eight billion, one hundred twenty million, one hundred forty-two thousand, three hundred eight".