28927600 has 60 divisors (see below), whose sum is σ = 74858056. Its totient is φ = 10679040.

The previous prime is 28927589. The next prime is 28927609. The reversal of 28927600 is 672982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28927609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2419 + ... + 7981.

Almost surely, 2^28927600 is an apocalyptic number.

28927600 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 28927600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37429028).

28927600 is an abundant number, since it is smaller than the sum of its proper divisors (45930456).

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

28927600 is a wasteful number, since it uses less digits than its factorization.

28927600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 28927600 is about 5378.4384350850. The cubic root of 28927600 is about 306.9757962435.

It can be divided in two parts, 289 and 27600, that added together give a square (27889 = 167²).

The spelling of 28927600 in words is "twenty-eight million, nine hundred twenty-seven thousand, six hundred".