528284123136 has 504 divisors, whose sum is σ = 1905353958144. Its totient is φ = 137027911680.

The previous prime is 528284123131. The next prime is 528284123149. The reversal of 528284123136 is 631321482825.

528284123136 is a `hidden beast` number, since 52 + 8 + 284 + 1 + 2 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×528284123136² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 528284123091 and 528284123100.

It is not an unprimeable number, because it can be changed into a prime (528284123131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726662805 + ... + 726663531.

Almost surely, 2^528284123136 is an apocalyptic number.

528284123136 is a gapful number since it is divisible by the number (56) 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 528284123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952676979072).

528284123136 is an abundant number, since it is smaller than the sum of its proper divisors (1377069835008).

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

528284123136 is an frugal number, since it uses more digits than its factorization.

528284123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 750 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 528284123136 in words is "five hundred twenty-eight billion, two hundred eighty-four million, one hundred twenty-three thousand, one hundred thirty-six".