693828000 has 144 divisors (see below), whose sum is σ = 2462523336. Its totient is φ = 185011200.

The previous prime is 693827993. The next prime is 693828001. The reversal of 693828000 is 828396.

693828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 254338704 + 439489296 = 15948^2 + 20964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (693828001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26364 + ... + 45636.

Almost surely, 2^693828000 is an apocalyptic number.

693828000 is a gapful number since it is divisible by the number (60) 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 693828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231261668).

693828000 is an abundant number, since it is smaller than the sum of its proper divisors (1768695336).

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

693828000 is a wasteful number, since it uses less digits than its factorization.

693828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19304 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 693828000 is about 26340.6150269883. The cubic root of 693828000 is about 885.2867020931.

The spelling of 693828000 in words is "six hundred ninety-three million, eight hundred twenty-eight thousand".