78393528 has 128 divisors (see below), whose sum is σ = 237211200. Its totient is φ = 23887872.

The previous prime is 78393527. The next prime is 78393533. The reversal of 78393528 is 82539387.

It is a super-2 number, since 2×78393528² = 12291090464573568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78393521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135576 + ... + 136152.

Almost surely, 2^78393528 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 78393528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118605600).

78393528 is an abundant number, since it is smaller than the sum of its proper divisors (158817672).

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

78393528 is a wasteful number, since it uses less digits than its factorization.

78393528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 78393528 is about 8854.0119719820. The cubic root of 78393528 is about 427.9832147608.

The spelling of 78393528 in words is "seventy-eight million, three hundred ninety-three thousand, five hundred twenty-eight".