28664064 has 288 divisors, whose sum is σ = 103017600. Its totient is φ = 7741440.

The previous prime is 28663939. The next prime is 28664071. The reversal of 28664064 is 46046682.

It is a happy number.

28664064 is a `hidden beast` number, since 2 + 8 + 6 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988402 + ... + 988430.

It is an arithmetic number, because the mean of its divisors is an integer number (357700).

Almost surely, 2^28664064 is an apocalyptic number.

28664064 is a gapful number since it is divisible by the number (24) 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 28664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51508800).

28664064 is an abundant number, since it is smaller than the sum of its proper divisors (74353536).

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

28664064 is a wasteful number, since it uses less digits than its factorization.

28664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 28664064 is about 5353.8830767958. The cubic root of 28664064 is about 306.0407481299.

The spelling of 28664064 in words is "twenty-eight million, six hundred sixty-four thousand, sixty-four".