788492928 has 64 divisors (see below), whose sum is σ = 2102440320. Its totient is φ = 261826560.

The previous prime is 788492927. The next prime is 788492953. The reversal of 788492928 is 829294887.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (788492927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100276 + ... + 107852.

It is an arithmetic number, because the mean of its divisors is an integer number (32850630).

Almost surely, 2^788492928 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 788492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051220160).

788492928 is an abundant number, since it is smaller than the sum of its proper divisors (1313947392).

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

788492928 is a wasteful number, since it uses less digits than its factorization.

788492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7853 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 788492928 is about 28080.1162390756. The cubic root of 788492928 is about 923.8453293327.

The spelling of 788492928 in words is "seven hundred eighty-eight million, four hundred ninety-two thousand, nine hundred twenty-eight".