528874416000 has 1536 divisors, whose sum is σ = 2268598026240. Its totient is φ = 115568640000.

The previous prime is 528874415947. The next prime is 528874416011. The reversal of 528874416000 is 614478825.

528874416000 is a `hidden beast` number, since 528 + 87 + 4 + 41 + 6 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×528874416000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2768975905 + ... + 2768976095.

It is an arithmetic number, because the mean of its divisors is an integer number (1476951840).

Almost surely, 2^528874416000 is an apocalyptic number.

528874416000 is a gapful number since it is divisible by the number (50) 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 528874416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134299013120).

528874416000 is an abundant number, since it is smaller than the sum of its proper divisors (1739723610240).

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

528874416000 is a wasteful number, since it uses less digits than its factorization.

528874416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 528874416000 in words is "five hundred twenty-eight billion, eight hundred seventy-four million, four hundred sixteen thousand".