28672000 has 128 divisors (see below), whose sum is σ = 81787680. Its totient is φ = 9830400.

The previous prime is 28671989. The next prime is 28672037. The reversal of 28672000 is 27682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095997 + ... + 4096003.

Almost surely, 2^28672000 is an apocalyptic number.

28672000 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 28672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40893840).

28672000 is an abundant number, since it is smaller than the sum of its proper divisors (53115680).

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

28672000 is an frugal number, since it uses more digits than its factorization.

28672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 28672000 is about 5354.6241698181. The cubic root of 28672000 is about 306.0689892436.

Adding to 28672000 its reverse (27682), we get a palindrome (28699682).

The spelling of 28672000 in words is "twenty-eight million, six hundred seventy-two thousand".