28449000 has 192 divisors, whose sum is σ = 100386000. Its totient is φ = 7257600.

The previous prime is 28448989. The next prime is 28449011. The reversal of 28449000 is 94482.

It is an interprime number because it is at equal distance from previous prime (28448989) and next prime (28449011).

It can be written as a sum of positive squares in 8 ways, for example, as 2377764 + 26071236 = 1542^2 + 5106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260946 + ... + 261054.

Almost surely, 2^28449000 is an apocalyptic number.

28449000 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 28449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193000).

28449000 is an abundant number, since it is smaller than the sum of its proper divisors (71937000).

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

28449000 is a wasteful number, since it uses less digits than its factorization.

28449000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28449000 is about 5333.7603995680. The cubic root of 28449000 is about 305.2734267568.

It can be divided in two parts, 284 and 49000, that added together give a square (49284 = 222²).

The spelling of 28449000 in words is "twenty-eight million, four hundred forty-nine thousand".