693729828 has 72 divisors (see below), whose sum is σ = 1920574656. Its totient is φ = 209390400.

The previous prime is 693729791. The next prime is 693729871. The reversal of 693729828 is 828927396.

It is a happy number.

It is a super-2 number, since 2×693729828² = 962522148513819168, which contains 22 as substring.

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, 100818 + ... + 107478.

It is an arithmetic number, because the mean of its divisors is an integer number (26674648).

Almost surely, 2^693729828 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 693729828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960287328).

693729828 is an abundant number, since it is smaller than the sum of its proper divisors (1226844828).

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

693729828 is a wasteful number, since it uses less digits than its factorization.

693729828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6940 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 693729828 is about 26338.7514510464. The cubic root of 693729828 is about 885.2449460836.

The spelling of 693729828 in words is "six hundred ninety-three million, seven hundred twenty-nine thousand, eight hundred twenty-eight".