28029100 has 72 divisors (see below), whose sum is σ = 67370688. Its totient is φ = 10036800.

The previous prime is 28029097. The next prime is 28029143. The reversal of 28029100 is 192082.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91147 + ... + 91453.

It is an arithmetic number, because the mean of its divisors is an integer number (935704).

Almost surely, 2^28029100 is an apocalyptic number.

28029100 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 28029100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33685344).

28029100 is an abundant number, since it is smaller than the sum of its proper divisors (39341588).

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

28029100 is a wasteful number, since it uses less digits than its factorization.

28029100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 28029100 is about 5294.2515996125. The cubic root of 28029100 is about 303.7640568836.

The spelling of 28029100 in words is "twenty-eight million, twenty-nine thousand, one hundred".