28201000 has 32 divisors (see below), whose sum is σ = 65992680. Its totient is φ = 11280000.

The previous prime is 28200973. The next prime is 28201001. The reversal of 28201000 is 10282.

It can be written as a sum of positive squares in 4 ways, for example, as 10510564 + 17690436 = 3242^2 + 4206^2 .

It is not an unprimeable number, because it can be changed into a prime (28201001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13101 + ... + 15100.

Almost surely, 2^28201000 is an apocalyptic number.

28201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28201000 is an abundant number, since it is smaller than the sum of its proper divisors (37791680).

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

28201000 is a wasteful number, since it uses less digits than its factorization.

28201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28222 (or 28208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 28201000 is about 5310.4613735531. The cubic root of 28201000 is about 304.3837777701.

Adding to 28201000 its reverse (10282), we get a palindrome (28211282).

The spelling of 28201000 in words is "twenty-eight million, two hundred one thousand".