28966900 has 18 divisors (see below), whose sum is σ = 62858390. Its totient is φ = 11586720.

The previous prime is 28966891. The next prime is 28966909. The reversal of 28966900 is 966982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28966891) and next prime (28966909).

It can be written as a sum of positive squares in 3 ways, for example, as 9659664 + 19307236 = 3108^2 + 4394^2 .

It is a super-2 number, since 2×28966900² = 1678162591220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28966909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144735 + ... + 144934.

Almost surely, 2^28966900 is an apocalyptic number.

28966900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28966900 is an abundant number, since it is smaller than the sum of its proper divisors (33891490).

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

28966900 is a wasteful number, since it uses less digits than its factorization.

28966900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289683 (or 289676 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 28966900 is about 5382.0906718486. The cubic root of 28966900 is about 307.1147487734.

The spelling of 28966900 in words is "twenty-eight million, nine hundred sixty-six thousand, nine hundred".