28378820 has 48 divisors (see below), whose sum is σ = 62339760. Its totient is φ = 10838016.

The previous prime is 28378817. The next prime is 28378829. The reversal of 28378820 is 2887382.

It can be written as a sum of positive squares in 8 ways, for example, as 9229444 + 19149376 = 3038^2 + 4376^2 .

It is not an unprimeable number, because it can be changed into a prime (28378829) 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, 65324 + ... + 65756.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 2^28378820 is an apocalyptic number.

28378820 is a gapful number since it is divisible by the number (20) 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 28378820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31169880).

28378820 is an abundant number, since it is smaller than the sum of its proper divisors (33960940).

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

28378820 is a wasteful number, since it uses less digits than its factorization.

28378820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 28378820 is about 5327.1774890649. The cubic root of 28378820 is about 305.0221967184.

The spelling of 28378820 in words is "twenty-eight million, three hundred seventy-eight thousand, eight hundred twenty".