788528 has 40 divisors (see below), whose sum is σ = 1749888. Its totient is φ = 340992.

The previous prime is 788527. The next prime is 788531. The reversal of 788528 is 825887.

It is a junction number, because it is equal to n+sod(n) for n = 788491 and 788500.

It is not an unprimeable number, because it can be changed into a prime (788521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3425 + ... + 3647.

2⁷⁸⁸⁵²⁸ 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 788528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944).

788528 is an abundant number, since it is smaller than the sum of its proper divisors (961360).

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

788528 is a wasteful number, since it uses less digits than its factorization.

788528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 788528 is about 887.9909909453. The cubic root of 788528 is about 92.3859026612.

It can be divided in two parts, 7885 and 28, that multiplied together give a triangular number (220780 = T₆₆₄).

The spelling of 788528 in words is "seven hundred eighty-eight thousand, five hundred twenty-eight".