788928417 has 48 divisors (see below), whose sum is σ = 1226115072. Its totient is φ = 506586960.

The previous prime is 788928407. The next prime is 788928421. The reversal of 788928417 is 714829887.

It is a happy number.

It is not a de Polignac number, because 788928417 - 2⁷ = 788928289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (788928407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764692 + ... + 765722.

It is an arithmetic number, because the mean of its divisors is an integer number (25544064).

Almost surely, 2^788928417 is an apocalyptic number.

It is an amenable number.

788928417 is a deficient number, since it is larger than the sum of its proper divisors (437186655).

788928417 is a wasteful number, since it uses less digits than its factorization.

788928417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 788928417 is about 28087.8695703323. The cubic root of 788928417 is about 924.0153796563.

The spelling of 788928417 in words is "seven hundred eighty-eight million, nine hundred twenty-eight thousand, four hundred seventeen".