788427328 has 56 divisors (see below), whose sum is σ = 1697428152. Its totient is φ = 361181184.

The previous prime is 788427319. The next prime is 788427361. The reversal of 788427328 is 823724887.

It can be written as a sum of positive squares in 4 ways, for example, as 76177984 + 712249344 = 8728^2 + 26688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110526 + ... + 117442.

It is an arithmetic number, because the mean of its divisors is an integer number (30311217).

Almost surely, 2^788427328 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 788427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848714076).

788427328 is an abundant number, since it is smaller than the sum of its proper divisors (909000824).

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

788427328 is a wasteful number, since it uses less digits than its factorization.

788427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7069 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 49.

The square root of 788427328 is about 28078.9481284467. The cubic root of 788427328 is about 923.8197083317.

The spelling of 788427328 in words is "seven hundred eighty-eight million, four hundred twenty-seven thousand, three hundred twenty-eight".