307828000 has 96 divisors (see below), whose sum is σ = 775193328. Its totient is φ = 120064000.

The previous prime is 307827991. The next prime is 307828007. The reversal of 307828000 is 828703.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 456976 + 307371024 = 676^2 + 17532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 307828000.

It is not an unprimeable number, because it can be changed into a prime (307828007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163062 + ... + 164938.

Almost surely, 2^307828000 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 307828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387596664).

307828000 is an abundant number, since it is smaller than the sum of its proper divisors (467365328).

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

307828000 is a wasteful number, since it uses less digits than its factorization.

307828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 307828000 is about 17545.0277856719. The cubic root of 307828000 is about 675.2056072324.

The spelling of 307828000 in words is "three hundred seven million, eight hundred twenty-eight thousand".