693116928 has 336 divisors, whose sum is σ = 2453518080. Its totient is φ = 184025088.

The previous prime is 693116899. The next prime is 693116947. The reversal of 693116928 is 829611396.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×693116928² = 960822151760314368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (139968) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8773593 + ... + 8773671.

Almost surely, 2^693116928 is an apocalyptic number.

693116928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226759040).

693116928 is an abundant number, since it is smaller than the sum of its proper divisors (1760401152).

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

693116928 is a wasteful number, since it uses less digits than its factorization.

693116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 693116928 is about 26327.1139322182. The cubic root of 693116928 is about 884.9841690168.

The spelling of 693116928 in words is "six hundred ninety-three million, one hundred sixteen thousand, nine hundred twenty-eight".