28076800 has 108 divisors (see below), whose sum is σ = 71854776. Its totient is φ = 10854400.

The previous prime is 28076791. The next prime is 28076801. The reversal of 28076800 is 867082.

It is not an unprimeable number, because it can be changed into a prime (28076801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262347 + ... + 262453.

It is an arithmetic number, because the mean of its divisors is an integer number (665322).

Almost surely, 2^28076800 is an apocalyptic number.

28076800 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 28076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35927388).

28076800 is an abundant number, since it is smaller than the sum of its proper divisors (43777976).

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

28076800 is a wasteful number, since it uses less digits than its factorization.

28076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 28076800 is about 5298.7545706515. The cubic root of 28076800 is about 303.9362747313.

The spelling of 28076800 in words is "twenty-eight million, seventy-six thousand, eight hundred".