28436100 has 144 divisors (see below), whose sum is σ = 102660096. Its totient is φ = 5904000.

The previous prime is 28436069. The next prime is 28436147. The reversal of 28436100 is 163482.

It is a happy number.

It is a super-2 number, since 2×28436100² = 1617223566420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22485 + ... + 23715.

Almost surely, 2^28436100 is an apocalyptic number.

28436100 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 28436100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51330048).

28436100 is an abundant number, since it is smaller than the sum of its proper divisors (74223996).

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

28436100 is a wasteful number, since it uses less digits than its factorization.

28436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28436100 is about 5332.5509842851. The cubic root of 28436100 is about 305.2272784144.

Adding to 28436100 its reverse (163482), we get a palindrome (28599582).

The spelling of 28436100 in words is "twenty-eight million, four hundred thirty-six thousand, one hundred".