28270800 has 90 divisors (see below), whose sum is σ = 98120022. Its totient is φ = 7537920.

The previous prime is 28270777. The next prime is 28270811. The reversal of 28270800 is 807282.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 28132416 = 372^2 + 5304^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327 + ... + 7526.

Almost surely, 2^28270800 is an apocalyptic number.

28270800 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 28270800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49060011).

28270800 is an abundant number, since it is smaller than the sum of its proper divisors (69849222).

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

28270800 is a wasteful number, since it uses less digits than its factorization.

28270800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28270800 is about 5317.0292457349. The cubic root of 28270800 is about 304.6346965694.

The spelling of 28270800 in words is "twenty-eight million, two hundred seventy thousand, eight hundred".