78852528 has 120 divisors (see below), whose sum is σ = 242515728. Its totient is φ = 24717312.

The previous prime is 78852523. The next prime is 78852539. The reversal of 78852528 is 82525887.

78852528 is a `hidden beast` number, since 78 + 8 + 52 + 528 = 666.

It is a super-3 number, since 3×78852528³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78852523) 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, 65500 + ... + 66692.

Almost surely, 2^78852528 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 78852528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121257864).

78852528 is an abundant number, since it is smaller than the sum of its proper divisors (163663200).

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

78852528 is a wasteful number, since it uses less digits than its factorization.

78852528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1215 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 78852528 is about 8879.8945939690. The cubic root of 78852528 is about 428.8168811112.

The spelling of 78852528 in words is "seventy-eight million, eight hundred fifty-two thousand, five hundred twenty-eight".