78528832 has 28 divisors (see below), whose sum is σ = 157274260. Its totient is φ = 38900736.

The previous prime is 78528829. The next prime is 78528833. The reversal of 78528832 is 23882587.

It can be written as a sum of positive squares in 2 ways, for example, as 61089856 + 17438976 = 7816^2 + 4176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78528833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1348 + ... + 12604.

Almost surely, 2^78528832 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 78528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78637130).

78528832 is an abundant number, since it is smaller than the sum of its proper divisors (78745428).

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

78528832 is a wasteful number, since it uses less digits than its factorization.

78528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11378 (or 11368 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 78528832 is about 8861.6495078512. The cubic root of 78528832 is about 428.2293003700.

The spelling of 78528832 in words is "seventy-eight million, five hundred twenty-eight thousand, eight hundred thirty-two".