28456064 has 96 divisors (see below), whose sum is σ = 71221500. Its totient is φ = 11225088.

The previous prime is 28456063. The next prime is 28456081. The reversal of 28456064 is 46065482.

It can be written as a sum of positive squares in 2 ways, for example, as 28302400 + 153664 = 5320^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (28456063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81362 + ... + 81710.

Almost surely, 2^28456064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35610750).

28456064 is an abundant number, since it is smaller than the sum of its proper divisors (42765436).

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

28456064 is a wasteful number, since it uses less digits than its factorization.

28456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 28456064 is about 5334.4225554412. The cubic root of 28456064 is about 305.2986915350.

The spelling of 28456064 in words is "twenty-eight million, four hundred fifty-six thousand, sixty-four".