28444900 has 72 divisors (see below), whose sum is σ = 70932960. Its totient is φ = 9792000.

The previous prime is 28444883. The next prime is 28444909. The reversal of 28444900 is 944482.

It is a super-2 number, since 2×28444900² = 1618224672020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28444909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20220 + ... + 21580.

It is an arithmetic number, because the mean of its divisors is an integer number (985180).

Almost surely, 2^28444900 is an apocalyptic number.

28444900 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 28444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35466480).

28444900 is an abundant number, since it is smaller than the sum of its proper divisors (42488060).

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

28444900 is a wasteful number, since it uses less digits than its factorization.

28444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 28444900 is about 5333.3760414957. The cubic root of 28444900 is about 305.2587609668.

It can be divided in two parts, 2844 and 4900, that added together give a square (7744 = 88²).

The spelling of 28444900 in words is "twenty-eight million, four hundred forty-four thousand, nine hundred".