28644000 has 384 divisors, whose sum is σ = 120766464. Its totient is φ = 5760000.

The previous prime is 28643999. The next prime is 28644013. The reversal of 28644000 is 44682.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923985 + ... + 924015.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^28644000 is an apocalyptic number.

28644000 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 28644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

28644000 is an abundant number, since it is smaller than the sum of its proper divisors (92122464).

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

28644000 is a wasteful number, since it uses less digits than its factorization.

28644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 28644000 is about 5352.0089686024. The cubic root of 28644000 is about 305.9693249613.

Adding to 28644000 its reverse (44682), we get a palindrome (28688682).

The spelling of 28644000 in words is "twenty-eight million, six hundred forty-four thousand".