788928 has 56 divisors (see below), whose sum is σ = 2389632. Its totient is φ = 225024.

The previous prime is 788927. The next prime is 788933. The reversal of 788928 is 829887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 788928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (42672).

2⁷⁸⁸⁹²⁸ 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 788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194816).

788928 is an abundant number, since it is smaller than the sum of its proper divisors (1600704).

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

788928 is a wasteful number, since it uses less digits than its factorization.

788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 788928 is about 888.2161898997. The cubic root of 788928 is about 92.4015216856.

It can be divided in two parts, 78892 and 8, that multiplied together give a palindrome (631136).

The spelling of 788928 in words is "seven hundred eighty-eight thousand, nine hundred twenty-eight".