768993728 has 28 divisors (see below), whose sum is σ = 1551843480. Its totient is φ = 377978112.

The previous prime is 768993727. The next prime is 768993767. The reversal of 768993728 is 827399867.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768993721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98051 + ... + 105602.

Almost surely, 2^768993728 is an apocalyptic number.

It is an amenable number.

768993728 is an abundant number, since it is smaller than the sum of its proper divisors (782849752).

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

768993728 is a wasteful number, since it uses less digits than its factorization.

768993728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203724 (or 203714 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 59.

The square root of 768993728 is about 27730.7361604412. The cubic root of 768993728 is about 916.1662010990.

The spelling of 768993728 in words is "seven hundred sixty-eight million, nine hundred ninety-three thousand, seven hundred twenty-eight".