37828000 has 144 divisors (see below), whose sum is σ = 108678024. Its totient is φ = 12902400.

The previous prime is 37827983. The next prime is 37828033. The reversal of 37828000 is 82873.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 31047184 = 2604^2 + 5572^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 37828000.

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, 195904 + ... + 196096.

Almost surely, 2^37828000 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 37828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54339012).

37828000 is an abundant number, since it is smaller than the sum of its proper divisors (70850024).

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

37828000 is a wasteful number, since it uses less digits than its factorization.

37828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

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

The square root of 37828000 is about 6150.4471382169. The cubic root of 37828000 is about 335.6895280197.

The spelling of 37828000 in words is "thirty-seven million, eight hundred twenty-eight thousand".