28289700 has 162 divisors, whose sum is σ = 96122754. Its totient is φ = 6935040.

The previous prime is 28289693. The next prime is 28289749. The reversal of 28289700 is 798282.

It can be written as a sum of positive squares in 3 ways, for example, as 4260096 + 24029604 = 2064^2 + 4902^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 657879 + ... + 657921.

Almost surely, 2^28289700 is an apocalyptic number.

28289700 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 28289700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48061377).

28289700 is an abundant number, since it is smaller than the sum of its proper divisors (67833054).

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

28289700 is a wasteful number, since it uses less digits than its factorization.

28289700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28289700 is about 5318.8062570468. The cubic root of 28289700 is about 304.7025676967.

The spelling of 28289700 in words is "twenty-eight million, two hundred eighty-nine thousand, seven hundred".