28786000 has 80 divisors (see below), whose sum is σ = 71669520. Its totient is φ = 11174400.

The previous prime is 28785983. The next prime is 28786001. The reversal of 28786000 is 68782.

It can be written as a sum of positive squares in 8 ways, for example, as 7033104 + 21752896 = 2652^2 + 4664^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28786001) 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, 73806 + ... + 74194.

It is an arithmetic number, because the mean of its divisors is an integer number (895869).

Almost surely, 2^28786000 is an apocalyptic number.

28786000 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 28786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834760).

28786000 is an abundant number, since it is smaller than the sum of its proper divisors (42883520).

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

28786000 is a wasteful number, since it uses less digits than its factorization.

28786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

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

The square root of 28786000 is about 5365.2586144565. The cubic root of 28786000 is about 306.4740967032.

The spelling of 28786000 in words is "twenty-eight million, seven hundred eighty-six thousand".