28013300 has 54 divisors (see below), whose sum is σ = 70725942. Its totient is φ = 9602880.

The previous prime is 28013261. The next prime is 28013311. The reversal of 28013300 is 331082.

It can be written as a sum of positive squares in 3 ways, for example, as 2328676 + 25684624 = 1526^2 + 5068^2 .

It is a super-3 number, since 3×28013300³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2042 + ... + 7758.

Almost surely, 2^28013300 is an apocalyptic number.

28013300 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 28013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35362971).

28013300 is an abundant number, since it is smaller than the sum of its proper divisors (42712642).

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

28013300 is a wasteful number, since it uses less digits than its factorization.

28013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 28013300 is about 5292.7592048005. The cubic root of 28013300 is about 303.7069689024.

Adding to 28013300 its reverse (331082), we get a palindrome (28344382).

The spelling of 28013300 in words is "twenty-eight million, thirteen thousand, three hundred".