28686000 has 160 divisors (see below), whose sum is σ = 105850368. Its totient is φ = 6547200.

The previous prime is 28685999. The next prime is 28686001. The reversal of 28686000 is 68682.

It is an interprime number because it is at equal distance from previous prime (28685999) and next prime (28686001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (28686001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41659 + ... + 42341.

Almost surely, 2^28686000 is an apocalyptic number.

28686000 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 28686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925184).

28686000 is an abundant number, since it is smaller than the sum of its proper divisors (77164368).

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

28686000 is a wasteful number, since it uses less digits than its factorization.

28686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 28686000 is about 5355.9312915683. The cubic root of 28686000 is about 306.1187970539.

The spelling of 28686000 in words is "twenty-eight million, six hundred eighty-six thousand".